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325593216 = 2733137247
BaseRepresentation
bin10011011010000…
…010100010000000
3211200122211221000
4103122002202000
51131322440331
652150332000
711032332234
oct2332024200
9750584830
10325593216
11157875003
129105a000
13525bc010
14313565c4
151d8b70e6
hex13682880

325593216 has 128 divisors (see below), whose sum is σ = 1035014400. Its totient is φ = 100168704.

The previous prime is 325593209. The next prime is 325593227. The reversal of 325593216 is 612395523.

325593216 is a `hidden beast` number, since 325 + 5 + 9 + 321 + 6 = 666.

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

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

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, 41305 + ... + 48551.

It is an arithmetic number, because the mean of its divisors is an integer number (8086050).

Almost surely, 2325593216 is an apocalyptic number.

325593216 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 325593216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517507200).

325593216 is an abundant number, since it is smaller than the sum of its proper divisors (709421184).

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

325593216 is a wasteful number, since it uses less digits than its factorization.

325593216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7283 (or 7265 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 325593216 is about 18044.2017279790. The cubic root of 325593216 is about 687.9524935649.

The spelling of 325593216 in words is "three hundred twenty-five million, five hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7247 7488 11232 14494 14976 21741 22464 28988 43482 44928 57976 65223 86964 94211 115952 130446 173928 188422 195669 231904 260892 282633 347856 376844 391338 463808 521784 565266 695712 753688 782676 847899 927616 1043568 1130532 1391424 1507376 1565352 1695798 2087136 2261064 2543697 2782848 3014752 3130704 3391596 4174272 4522128 5087394 6029504 6261408 6783192 8348544 9044256 10174788 12059008 12522816 13566384 18088512 20349576 25045632 27132768 36177024 40699152 54265536 81398304 108531072 162796608 325593216