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325844064 = 253271312433
BaseRepresentation
bin10011011010111…
…111110001100000
3211201010121000200
4103122333301200
51131404002224
652155545200
711034425460
oct2332776140
9751117020
10325844064
11157a26517
129115b200
1352679250
14313bdba0
151d9165c9
hex136bfc60

325844064 has 144 divisors (see below), whose sum is σ = 1140545952. Its totient is φ = 85929984.

The previous prime is 325844047. The next prime is 325844093. The reversal of 325844064 is 460448523.

325844064 is a `hidden beast` number, since 32 + 584 + 40 + 6 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19992 + ... + 32424.

It is an arithmetic number, because the mean of its divisors is an integer number (7920458).

Almost surely, 2325844064 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 325844064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570272976).

325844064 is an abundant number, since it is smaller than the sum of its proper divisors (814701888).

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

325844064 is a wasteful number, since it uses less digits than its factorization.

325844064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12469 (or 12458 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 325844064 is about 18051.1513206222. The cubic root of 325844064 is about 688.1291221506.

The spelling of 325844064 in words is "three hundred twenty-five million, eight hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 12433 13104 24866 26208 37299 49732 74598 87031 99464 111897 149196 161629 174062 198928 223794 261093 298392 323258 348124 397856 447588 484887 522186 596784 646516 696248 783279 895176 969774 1044372 1131403 1193568 1293032 1392496 1454661 1566558 1790352 1939548 2088744 2262806 2586064 2784992 2909322 3133116 3394209 3580704 3879096 4177488 4525612 5172128 5818644 6266232 6788418 7758192 8354976 9051224 10182627 11637288 12532464 13576836 15516384 18102448 20365254 23274576 25064928 27153672 36204896 40730508 46549152 54307344 81461016 108614688 162922032 325844064