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327780864 = 2933131181
BaseRepresentation
bin10011100010011…
…000101000000000
3211211202222211000
4103202120220000
51132402441424
652305252000
711060043225
oct2342305000
9754688730
10327780864
11159029684
1291934000
1352ba6998
143176594c
151db9a3c9
hex13898a00

327780864 has 160 divisors (see below), whose sum is σ = 983062080. Its totient is φ = 107827200.

The previous prime is 327780847. The next prime is 327780907. The reversal of 327780864 is 468087723.

It is a happy 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, 1810854 + ... + 1811034.

It is an arithmetic number, because the mean of its divisors is an integer number (6144138).

Almost surely, 2327780864 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 327780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491531040).

327780864 is an abundant number, since it is smaller than the sum of its proper divisors (655281216).

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

327780864 is a wasteful number, since it uses less digits than its factorization.

327780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 327780864 is about 18104.7193847350. The cubic root of 327780864 is about 689.4898308258.

The spelling of 327780864 in words is "three hundred twenty-seven million, seven hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 181 192 216 256 262 288 362 384 393 432 512 524 543 576 724 768 786 864 1048 1086 1152 1179 1448 1536 1572 1629 1728 2096 2172 2304 2358 2896 3144 3258 3456 3537 4192 4344 4608 4716 4887 5792 6288 6516 6912 7074 8384 8688 9432 9774 11584 12576 13032 13824 14148 16768 17376 18864 19548 23168 23711 25152 26064 28296 33536 34752 37728 39096 46336 47422 50304 52128 56592 67072 69504 71133 75456 78192 92672 94844 100608 104256 113184 139008 142266 150912 156384 189688 201216 208512 213399 226368 278016 284532 301824 312768 379376 417024 426798 452736 569064 603648 625536 640197 758752 834048 853596 905472 1138128 1251072 1280394 1517504 1707192 1810944 2276256 2502144 2560788 3035008 3414384 4552512 5121576 6070016 6828768 9105024 10243152 12140032 13657536 18210048 20486304 27315072 36420096 40972608 54630144 81945216 109260288 163890432 327780864