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4451343240 = 2335176135771
BaseRepresentation
bin1000010010101001…
…00001101110001000
3102111012222122222110
410021110201232020
533104020440430
62013411422320
7215210536041
oct41124415610
912435878873
104451343240
111984738073
12a428b49a0
1355c29b916
143032818c8
151b0bcb7b0
hex109521b88

4451343240 has 128 divisors (see below), whose sum is σ = 14371758720. Its totient is φ = 1098854400.

The previous prime is 4451343229. The next prime is 4451343271. The reversal of 4451343240 is 423431544.

It is a super-3 number, since 3×44513432403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4451343198 and 4451343207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106555 + ... + 142325.

It is an arithmetic number, because the mean of its divisors is an integer number (112279365).

Almost surely, 24451343240 is an apocalyptic number.

4451343240 is a gapful number since it is divisible by the number (40) 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 4451343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185879360).

4451343240 is an abundant number, since it is smaller than the sum of its proper divisors (9920415480).

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

4451343240 is a wasteful number, since it uses less digits than its factorization.

4451343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35863 (or 35859 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4451343240 is about 66718.3875704442. The cubic root of 4451343240 is about 1644.9916377534.

Adding to 4451343240 its reverse (423431544), we get a palindrome (4874774784).

The spelling of 4451343240 in words is "four billion, four hundred fifty-one million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 61 68 85 102 120 122 136 170 183 204 244 255 305 340 366 408 488 510 610 680 732 915 1020 1037 1220 1464 1830 2040 2074 2440 3111 3660 4148 5185 6222 7320 8296 10370 12444 15555 20740 24888 31110 35771 41480 62220 71542 107313 124440 143084 178855 214626 286168 357710 429252 536565 608107 715420 858504 1073130 1216214 1430840 1824321 2146260 2182031 2432428 3040535 3648642 4292520 4364062 4864856 6081070 6546093 7297284 8728124 9121605 10910155 12162140 13092186 14594568 17456248 18243210 21820310 24324280 26184372 32730465 36486420 37094527 43640620 52368744 65460930 72972840 74189054 87281240 111283581 130921860 148378108 185472635 222567162 261843720 296756216 370945270 445134324 556417905 741890540 890268648 1112835810 1483781080 2225671620 4451343240