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357795945 = 325131933169
BaseRepresentation
bin10101010100111…
…000100001101001
3220221020220202200
4111110320201221
51213043432240
655300450413
711603133603
oct2524704151
9827226680
10357795945
11173a6a431
129b9a9a09
13591857a0
143573a173
1521628930
hex15538869

357795945 has 48 divisors (see below), whose sum is σ = 671558160. Its totient is φ = 175177728.

The previous prime is 357795917. The next prime is 357795947. The reversal of 357795945 is 549597753.

It can be written as a sum of positive squares in 8 ways, for example, as 17614809 + 340181136 = 4197^2 + 18444^2 .

It is not a de Polignac number, because 357795945 - 27 = 357795817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 357795891 and 357795900.

It is not an unprimeable number, because it can be changed into a prime (357795947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111321 + ... + 114489.

It is an arithmetic number, because the mean of its divisors is an integer number (13990795).

Almost surely, 2357795945 is an apocalyptic number.

It is an amenable number.

357795945 is a deficient number, since it is larger than the sum of its proper divisors (313762215).

357795945 is a wasteful number, since it uses less digits than its factorization.

357795945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3383 counting only the distinct ones).

The product of its digits is 5953500, while the sum is 54.

The square root of 357795945 is about 18915.4948388880. The cubic root of 357795945 is about 709.9239123647.

The spelling of 357795945 in words is "three hundred fifty-seven million, seven hundred ninety-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 193 195 579 585 965 1737 2509 2895 3169 7527 8685 9507 12545 15845 22581 28521 37635 41197 47535 112905 123591 142605 205985 370773 611617 617955 1834851 1853865 3058085 5504553 7951021 9174255 23853063 27522765 39755105 71559189 119265315 357795945