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330852096 = 2832178447
BaseRepresentation
bin10011101110000…
…110011100000000
3212001120000202100
4103232012130000
51134144231341
652455150400
711125124241
oct2356063400
9761500670
10330852096
1115a837093
1292975400
1353710893
1431d24cc8
151e0a53b6
hex13b86700

330852096 has 108 divisors (see below), whose sum is σ = 1010161152. Its totient is φ = 103784448.

The previous prime is 330852089. The next prime is 330852121. The reversal of 330852096 is 690258033.

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 self number, because there is not a number n which added to its sum of digits gives 330852096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34945 + ... + 43391.

It is an arithmetic number, because the mean of its divisors is an integer number (9353344).

Almost surely, 2330852096 is an apocalyptic number.

330852096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505080576).

330852096 is an abundant number, since it is smaller than the sum of its proper divisors (679309056).

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

330852096 is a wasteful number, since it uses less digits than its factorization.

330852096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8486 (or 8469 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 330852096 is about 18189.3401749486. The cubic root of 330852096 is about 691.6365940248.

The spelling of 330852096 in words is "three hundred thirty million, eight hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 8447 9792 13056 16894 19584 25341 33788 39168 50682 67576 76023 101364 135152 143599 152046 202728 270304 287198 304092 405456 430797 540608 574396 608184 810912 861594 1081216 1148792 1216368 1292391 1621824 1723188 2162432 2297584 2432736 2584782 3243648 3446376 4595168 4865472 5169564 6487296 6892752 9190336 9730944 10339128 13785504 18380672 19461888 20678256 27571008 36761344 41356512 55142016 82713024 110284032 165426048 330852096