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327034080 = 253251911953
BaseRepresentation
bin10011011111100…
…010010011100000
3211210101001102100
4103133202103200
51132210042310
652241250400
711050513062
oct2337422340
9753331370
10327034080
111586695aa
1291633a00
13529a4ab9
143160d732
151da9dec0
hex137e24e0

327034080 has 144 divisors (see below), whose sum is σ = 1174839120. Its totient is φ = 82612224.

The previous prime is 327034039. The next prime is 327034093. The reversal of 327034080 is 80430723.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21384 + ... + 33336.

It is an arithmetic number, because the mean of its divisors is an integer number (8158605).

Almost surely, 2327034080 is an apocalyptic number.

327034080 is a gapful number since it is divisible by the number (30) 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 327034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587419560).

327034080 is an abundant number, since it is smaller than the sum of its proper divisors (847805040).

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

327034080 is a wasteful number, since it uses less digits than its factorization.

327034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11993 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 327034080 is about 18084.0836096276. The cubic root of 327034080 is about 688.9658105033.

The spelling of 327034080 in words is "three hundred twenty-seven million, thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 11953 13680 23906 27360 35859 47812 59765 71718 95624 107577 119530 143436 179295 191248 215154 227107 239060 286872 358590 382496 430308 454214 478120 537885 573744 681321 717180 860616 908428 956240 1075770 1135535 1147488 1362642 1434360 1721232 1816856 1912480 2043963 2151540 2271070 2725284 2868720 3406605 3442464 3633712 4087926 4303080 4542140 5450568 5737440 6813210 7267424 8175852 8606160 9084280 10219815 10901136 13626420 16351704 17212320 18168560 20439630 21802272 27252840 32703408 36337120 40879260 54505680 65406816 81758520 109011360 163517040 327034080