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1350325768 = 2311236110937
BaseRepresentation
bin101000001111100…
…0101011000001000
310111002212122201111
41100133011120020
510231140411033
6341554100104
745314402551
oct12037053010
93432778644
101350325768
11633250810
1231827a634
131869a873c
14cb4a1328
157d8317cd
hex507c5608

1350325768 has 64 divisors (see below), whose sum is σ = 2929633920. Its totient is φ = 577420800.

The previous prime is 1350325747. The next prime is 1350325771. The reversal of 1350325768 is 8675230531.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1350325768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117996 + ... + 128932.

It is an arithmetic number, because the mean of its divisors is an integer number (45775530).

Almost surely, 21350325768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350325768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464816960).

1350325768 is an abundant number, since it is smaller than the sum of its proper divisors (1579308152).

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

1350325768 is a wasteful number, since it uses less digits than its factorization.

1350325768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11038 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 1350325768 is about 36746.7790153096. The cubic root of 1350325768 is about 1105.2983416700.

The spelling of 1350325768 in words is "one billion, three hundred fifty million, three hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 61 88 92 122 184 244 253 488 506 671 1012 1342 1403 2024 2684 2806 5368 5612 10937 11224 15433 21874 30866 43748 61732 87496 120307 123464 240614 251551 481228 503102 667157 962456 1006204 1334314 2012408 2668628 2767061 5337256 5534122 7338727 11068244 14677454 15344611 22136488 29354908 30689222 58709816 61378444 122756888 168790721 337581442 675162884 1350325768