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351329157 = 361728349
BaseRepresentation
bin10100111100001…
…101101110000101
3220111002101000000
4110330031232011
51204420013112
654510111513
711464151154
oct2474155605
9814071000
10351329157
11170352883
12997ab599
1357a3019a
143493559b
1520c9c7dc
hex14f0db85

351329157 has 28 divisors (see below), whose sum is σ = 557757900. Its totient is φ = 220434048.

The previous prime is 351329101. The next prime is 351329159. The reversal of 351329157 is 751923153.

351329157 is a `hidden beast` number, since 3 + 513 + 2 + 91 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124344801 + 226984356 = 11151^2 + 15066^2 .

It is not a de Polignac number, because 351329157 - 26 = 351329093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351329159) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1782 + ... + 26567.

It is an arithmetic number, because the mean of its divisors is an integer number (19919925).

Almost surely, 2351329157 is an apocalyptic number.

It is an amenable number.

351329157 is a deficient number, since it is larger than the sum of its proper divisors (206428743).

351329157 is an equidigital number, since it uses as much as digits as its factorization.

351329157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28384 (or 28369 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 351329157 is about 18743.7764871437. The cubic root of 351329157 is about 705.6208383579.

The spelling of 351329157 in words is "three hundred fifty-one million, three hundred twenty-nine thousand, one hundred fifty-seven".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 4131 12393 28349 85047 255141 481933 765423 1445799 2296269 4337397 6888807 13012191 20666421 39036573 117109719 351329157