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325379472 = 2431131103193
BaseRepresentation
bin10011011001001…
…110010110010000
3211200020222201120
4103121032112100
51131244120342
652142002240
711030452125
oct2331162620
9750228646
10325379472
11157739460
1290b76380
1352545942
14312dc74c
151d873aec
hex1364e590

325379472 has 160 divisors (see below), whose sum is σ = 960700416. Its totient is φ = 94003200.

The previous prime is 325379447. The next prime is 325379489. The reversal of 325379472 is 274973523.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685808 + ... + 1686000.

Almost surely, 2325379472 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 325379472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480350208).

325379472 is an abundant number, since it is smaller than the sum of its proper divisors (635320944).

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

325379472 is a wasteful number, since it uses less digits than its factorization.

325379472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 325379472 is about 18038.2779665909. The cubic root of 325379472 is about 687.8019192699.

The spelling of 325379472 in words is "three hundred twenty-five million, three hundred seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 103 124 132 176 186 193 206 248 264 309 341 372 386 412 496 528 579 618 682 744 772 824 1023 1133 1158 1236 1364 1488 1544 1648 2046 2123 2266 2316 2472 2728 3088 3193 3399 4092 4246 4532 4632 4944 5456 5983 6369 6386 6798 8184 8492 9064 9264 9579 11966 12738 12772 13596 16368 16984 17949 18128 19158 19879 23932 25476 25544 27192 33968 35123 35898 38316 39758 47864 50952 51088 54384 59637 65813 70246 71796 76632 79516 95728 101904 105369 119274 131626 140492 143592 153264 159032 197439 210738 218669 238548 263252 280984 287184 318064 394878 421476 437338 477096 526504 561968 616249 656007 789756 842952 874676 954192 1053008 1232498 1312014 1579512 1685904 1749352 1848747 2464996 2624028 3159024 3498704 3697494 4929992 5248056 6778739 7394988 9859984 10496112 13557478 14789976 20336217 27114956 29579952 40672434 54229912 81344868 108459824 162689736 325379472