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3545249040 = 243357392221
BaseRepresentation
bin1101001101010000…
…0011010100010000
3100011002000022102000
43103110003110100
524230040432130
61343442554000
7153566056014
oct32324032420
910132008360
103545249040
11155a223093
1282b368900
134466503c8
14258bba544
1515b399260
hexd3503510

3545249040 has 160 divisors (see below), whose sum is σ = 12233443200. Its totient is φ = 943695360.

The previous prime is 3545249033. The next prime is 3545249047. The reversal of 3545249040 is 409425453.

It is a happy number.

3545249040 is a `hidden beast` number, since 3 + 5 + 4 + 524 + 90 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3545249033) and next prime (3545249047).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3545248986 and 3545249004.

It is not an unprimeable number, because it can be changed into a prime (3545249047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1595130 + ... + 1597350.

It is an arithmetic number, because the mean of its divisors is an integer number (76459020).

Almost surely, 23545249040 is an apocalyptic number.

3545249040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3545249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116721600).

3545249040 is an abundant number, since it is smaller than the sum of its proper divisors (8688194160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3545249040 is a wasteful number, since it uses less digits than its factorization.

3545249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3545249040 is about 59541.9939202577. The cubic root of 3545249040 is about 1524.8094775870.

The spelling of 3545249040 in words is "three billion, five hundred forty-five million, two hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 739 1080 1478 2160 2217 2221 2956 3695 4434 4442 5912 6651 6663 7390 8868 8884 11085 11105 11824 13302 13326 14780 17736 17768 19953 19989 22170 22210 26604 26652 29560 33255 33315 35472 35536 39906 39978 44340 44420 53208 53304 59120 59967 66510 66630 79812 79956 88680 88840 99765 99945 106416 106608 119934 133020 133260 159624 159912 177360 177680 199530 199890 239868 266040 266520 299835 319248 319824 399060 399780 479736 532080 533040 599670 798120 799560 959472 1199340 1596240 1599120 1641319 2398680 3282638 4797360 4923957 6565276 8206595 9847914 13130552 14771871 16413190 19695828 24619785 26261104 29543742 32826380 39391656 44315613 49239570 59087484 65652760 73859355 78783312 88631226 98479140 118174968 131305520 147718710 177262452 196958280 221578065 236349936 295437420 354524904 393916560 443156130 590874840 709049808 886312260 1181749680 1772624520 3545249040