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352072431 = 321723100049
BaseRepresentation
bin10100111111000…
…011001011101111
3220112111010120200
4110333003023233
51210112304211
654534044543
711503365144
oct2477031357
9815433520
10352072431
11170810257
1299aa9753
1357c305a9
1434a8a3cb
1520d97b56
hex14fc32ef

352072431 has 24 divisors (see below), whose sum is σ = 561880800. Its totient is φ = 211301376.

The previous prime is 352072421. The next prime is 352072439. The reversal of 352072431 is 134270253.

It is not a de Polignac number, because 352072431 - 219 = 351548143 is a prime.

It is a super-2 number, since 2×3520724312 = 247909993340499522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352072395 and 352072404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352072439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46506 + ... + 53543.

It is an arithmetic number, because the mean of its divisors is an integer number (23411700).

Almost surely, 2352072431 is an apocalyptic number.

352072431 is a deficient number, since it is larger than the sum of its proper divisors (209808369).

352072431 is a wasteful number, since it uses less digits than its factorization.

352072431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100095 (or 100092 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 352072431 is about 18763.5932326407. The cubic root of 352072431 is about 706.1180930355.

The spelling of 352072431 in words is "three hundred fifty-two million, seventy-two thousand, four hundred thirty-one".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 100049 300147 900441 1700833 2301127 5102499 6903381 15307497 20710143 39119159 117357477 352072431