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3495542640 = 243531895279
BaseRepresentation
bin1101000001011001…
…1011111101110000
3100000121110222001020
43100112123331300
524124324331030
61334505335440
7152423423262
oct32026337560
910017428036
103495542640
111534162a17
12816797580
13439268835
1425235bb32
15156d2b510
hexd059bf70

3495542640 has 160 divisors (see below), whose sum is σ = 11313561600. Its totient is φ = 891770880.

The previous prime is 3495542623. The next prime is 3495542647. The reversal of 3495542640 is 462455943.

It is a junction number, because it is equal to n+sod(n) for n = 3495542592 and 3495542601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3495542647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659521 + ... + 664799.

It is an arithmetic number, because the mean of its divisors is an integer number (70709760).

Almost surely, 23495542640 is an apocalyptic number.

3495542640 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 3495542640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656780800).

3495542640 is an abundant number, since it is smaller than the sum of its proper divisors (7818018960).

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

3495542640 is a wasteful number, since it uses less digits than its factorization.

3495542640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 3495542640 is about 59123.1142616828. The cubic root of 3495542640 is about 1517.6496802183.

The spelling of 3495542640 in words is "three billion, four hundred ninety-five million, five hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 89 93 120 124 155 178 186 240 248 267 310 356 372 445 465 496 534 620 712 744 890 930 1068 1240 1335 1424 1488 1780 1860 2136 2480 2670 2759 3560 3720 4272 5279 5340 5518 7120 7440 8277 10558 10680 11036 13795 15837 16554 21116 21360 22072 26395 27590 31674 33108 41385 42232 44144 52790 55180 63348 66216 79185 82770 84464 105580 110360 126696 132432 158370 163649 165540 211160 220720 253392 316740 327298 331080 422320 469831 490947 633480 654596 662160 818245 939662 981894 1266960 1309192 1409493 1636490 1879324 1963788 2349155 2454735 2618384 2818986 3272980 3758648 3927576 4698310 4909470 5637972 6545960 7047465 7517296 7855152 9396620 9818940 11275944 13091920 14094930 14564761 18793240 19637880 22551888 28189860 29129522 37586480 39275760 43694283 56379720 58259044 72823805 87388566 112759440 116518088 145647610 174777132 218471415 233036176 291295220 349554264 436942830 582590440 699108528 873885660 1165180880 1747771320 3495542640