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234902496 = 25323191557
BaseRepresentation
bin11100000000001…
…01001111100000
3121101000021122110
432000011033200
5440113334441
635150435320
75551431633
oct1600051740
9541007573
10234902496
111106617a4
1266802b40
133988787a
14232a9c1a
1515950b16
hexe0053e0

234902496 has 96 divisors (see below), whose sum is σ = 647958528. Its totient is φ = 74370560.

The previous prime is 234902483. The next prime is 234902497. The reversal of 234902496 is 694209432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234902497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421450 + ... + 422006.

It is an arithmetic number, because the mean of its divisors is an integer number (6749568).

Almost surely, 2234902496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234902496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323979264).

234902496 is an abundant number, since it is smaller than the sum of its proper divisors (413056032).

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

234902496 is a wasteful number, since it uses less digits than its factorization.

234902496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 234902496 is about 15326.5291569879. The cubic root of 234902496 is about 617.0152202727.

The spelling of 234902496 in words is "two hundred thirty-four million, nine hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 191 276 368 382 552 557 573 736 764 1104 1114 1146 1528 1671 2208 2228 2292 3056 3342 4393 4456 4584 6112 6684 8786 8912 9168 12811 13179 13368 17572 17824 18336 25622 26358 26736 35144 38433 51244 52716 53472 70288 76866 102488 105432 106387 140576 153732 204976 210864 212774 307464 319161 409952 421728 425548 614928 638322 851096 1229856 1276644 1702192 2446901 2553288 3404384 4893802 5106576 7340703 9787604 10213152 14681406 19575208 29362812 39150416 58725624 78300832 117451248 234902496