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327424896 = 2733175573
BaseRepresentation
bin10011100001000…
…001101110000000
3211211002220112000
4103201001232000
51132310044041
652253504000
711054031351
oct2341015600
9754086460
10327424896
11158906197
12917a2000
1352ab0956
14316b1d28
151db29bb6
hex13841b80

327424896 has 128 divisors (see below), whose sum is σ = 1023386400. Its totient is φ = 102703104.

The previous prime is 327424861. The next prime is 327424907. The reversal of 327424896 is 698424723.

327424896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3274248962 = 214414125041221632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55966 + ... + 61538.

Almost surely, 2327424896 is an apocalyptic number.

327424896 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 327424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511693200).

327424896 is an abundant number, since it is smaller than the sum of its proper divisors (695961504).

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

327424896 is a wasteful number, since it uses less digits than its factorization.

327424896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5595 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 327424896 is about 18094.8859073496. The cubic root of 327424896 is about 689.2401465152.

The spelling of 327424896 in words is "three hundred twenty-seven million, four hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 5573 6528 7344 9792 11146 14688 16719 19584 22292 29376 33438 44584 50157 58752 66876 89168 94741 100314 133752 150471 178336 189482 200628 267504 284223 300942 356672 378964 401256 535008 568446 601884 713344 757928 802512 852669 1070016 1136892 1203768 1515856 1605024 1705338 2140032 2273784 2407536 2558007 3031712 3210048 3410676 4547568 4815072 5116014 6063424 6420096 6821352 9095136 9630144 10232028 12126848 13642704 18190272 19260288 20464056 27285408 36380544 40928112 54570816 81856224 109141632 163712448 327424896