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328012704 = 25326789191
BaseRepresentation
bin10011100011010…
…001001110100000
3211212012202211200
4103203101032200
51132432401304
652314241200
711062030155
oct2343211640
9755182750
10328012704
11159177888
1291a26200
1352c58376
14317c622c
151dbe3e39
hex138d13a0

328012704 has 144 divisors (see below), whose sum is σ = 962357760. Its totient is φ = 105937920.

The previous prime is 328012693. The next prime is 328012717. The reversal of 328012704 is 407210823.

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

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, 1717249 + ... + 1717439.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2328012704 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 328012704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

328012704 is an abundant number, since it is smaller than the sum of its proper divisors (634345056).

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

328012704 is a wasteful number, since it uses less digits than its factorization.

328012704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 328012704 is about 18111.1210034056. The cubic root of 328012704 is about 689.6523516510.

The spelling of 328012704 in words is "three hundred twenty-eight million, twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 89 96 134 144 178 191 201 267 268 288 356 382 402 534 536 573 603 712 764 801 804 1068 1072 1146 1206 1424 1528 1602 1608 1719 2136 2144 2292 2412 2848 3056 3204 3216 3438 4272 4584 4824 5963 6112 6408 6432 6876 8544 9168 9648 11926 12797 12816 13752 16999 17889 18336 19296 23852 25594 25632 27504 33998 35778 38391 47704 50997 51188 53667 55008 67996 71556 76782 95408 101994 102376 107334 115173 135992 143112 152991 153564 190816 203988 204752 214668 230346 271984 286224 305982 307128 407976 409504 429336 460692 543968 572448 611964 614256 815952 858672 921384 1138933 1223928 1228512 1631904 1717344 1842768 2277866 2447856 3416799 3685536 4555732 4895712 6833598 9111464 10250397 13667196 18222928 20500794 27334392 36445856 41001588 54668784 82003176 109337568 164006352 328012704