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352000253 = 113264463
BaseRepresentation
bin10100111110110…
…001100011111101
3220112100110120102
4110332301203331
51210103002003
654532330445
711502644543
oct2476614375
9815313512
10352000253
11170771000
1299a73a25
1357c06797
1434a6bd93
1520d81588
hex14fb18fd

352000253 has 8 divisors (see below), whose sum is σ = 387175296. Its totient is φ = 319999020.

The previous prime is 352000247. The next prime is 352000273.

352000253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352000253 - 28 = 351999997 is a prime.

It is a super-2 number, since 2×3520002532 = 247808356224128018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352000223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130901 + ... + 133562.

It is an arithmetic number, because the mean of its divisors is an integer number (48396912).

Almost surely, 2352000253 is an apocalyptic number.

It is an amenable number.

352000253 is a deficient number, since it is larger than the sum of its proper divisors (35175043).

352000253 is an equidigital number, since it uses as much as digits as its factorization.

352000253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264496 (or 264474 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 352000253 is about 18761.6697817652. The cubic root of 352000253 is about 706.0698362277.

It can be divided in two parts, 352000 and 253, that added together give a palindrome (352253).

The spelling of 352000253 in words is "three hundred fifty-two million, two hundred fifty-three", and thus it is an aban number.

Divisors: 1 11 121 1331 264463 2909093 32000023 352000253