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334382496 = 25371034831
BaseRepresentation
bin10011111011100…
…100010110100000
3212022012101112220
4103323210112200
51141100214441
653102551040
711200130040
oct2373442640
9768171486
10334382496
11161828578
1293b98480
1354378786
14325a3720
151e551466
hex13ee45a0

334382496 has 96 divisors (see below), whose sum is σ = 1013096448. Its totient is φ = 94590720.

The previous prime is 334382483. The next prime is 334382497. The reversal of 334382496 is 694283433.

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

It is a super-2 number, since 2×3343824962 = 223623307262380032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (334382497) 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, 66801 + ... + 71631.

It is an arithmetic number, because the mean of its divisors is an integer number (10553088).

Almost surely, 2334382496 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 334382496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506548224).

334382496 is an abundant number, since it is smaller than the sum of its proper divisors (678713952).

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

334382496 is a wasteful number, since it uses less digits than its factorization.

334382496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4946 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 334382496 is about 18286.1285131654. The cubic root of 334382496 is about 694.0879612339.

The spelling of 334382496 in words is "three hundred thirty-four million, three hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 412 618 672 721 824 1236 1442 1648 2163 2472 2884 3296 4326 4831 4944 5768 8652 9662 9888 11536 14493 17304 19324 23072 28986 33817 34608 38648 57972 67634 69216 77296 101451 115944 135268 154592 202902 231888 270536 405804 463776 497593 541072 811608 995186 1082144 1492779 1623216 1990372 2985558 3246432 3483151 3980744 5971116 6966302 7961488 10449453 11942232 13932604 15922976 20898906 23884464 27865208 41797812 47768928 55730416 83595624 111460832 167191248 334382496