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252943344 = 2433585517
BaseRepresentation
bin11110001001110…
…01101111110000
3122121221212001000
433010321233300
51004223141334
641033242000
76160661103
oct1704715760
9577855030
10252943344
1111a864095
1270863300
1340533324
142584473a
1517316299
hexf139bf0

252943344 has 40 divisors (see below), whose sum is σ = 726042320. Its totient is φ = 84314304.

The previous prime is 252943303. The next prime is 252943387. The reversal of 252943344 is 443349252.

252943344 is a `hidden beast` number, since 25 + 294 + 3 + 344 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252943299 and 252943308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292327 + ... + 293190.

It is an arithmetic number, because the mean of its divisors is an integer number (18151058).

Almost surely, 2252943344 is an apocalyptic number.

252943344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252943344 is an abundant number, since it is smaller than the sum of its proper divisors (473098976).

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

252943344 is a wasteful number, since it uses less digits than its factorization.

252943344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585534 (or 585522 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 252943344 is about 15904.1926547687. The cubic root of 252943344 is about 632.4231396968.

The spelling of 252943344 in words is "two hundred fifty-two million, nine hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 585517 1171034 1756551 2342068 3513102 4684136 5269653 7026204 9368272 10539306 14052408 15808959 21078612 28104816 31617918 42157224 63235836 84314448 126471672 252943344