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325643136 = 2737139319
BaseRepresentation
bin10011011010001…
…110101110000000
3211200202101101220
4103122032232000
51131331040021
652151355040
711032630620
oct2332165600
9750671356
10325643136
111578a9565
1291082a80
1352608960
143136a880
151d8c6cc6
hex1368eb80

325643136 has 128 divisors (see below), whose sum is σ = 1064716800. Its totient is φ = 85874688.

The previous prime is 325643111. The next prime is 325643159. The reversal of 325643136 is 631346523.

325643136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 325643097 and 325643106.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30285 + ... + 39603.

It is an arithmetic number, because the mean of its divisors is an integer number (8318100).

Almost surely, 2325643136 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 325643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532358400).

325643136 is an abundant number, since it is smaller than the sum of its proper divisors (739073664).

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

325643136 is a wasteful number, since it uses less digits than its factorization.

325643136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356 (or 9344 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 325643136 is about 18045.5849448002. The cubic root of 325643136 is about 687.9876507609.

Adding to 325643136 its reverse (631346523), we get a palindrome (956989659).

The spelling of 325643136 in words is "three hundred twenty-five million, six hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 9319 11648 17472 18638 27957 34944 37276 55914 65233 74552 111828 121147 130466 149104 195699 223656 242294 260932 298208 363441 391398 447312 484588 521864 596416 726882 782796 848029 894624 969176 1043728 1192832 1453764 1565592 1696058 1789248 1938352 2087456 2544087 2907528 3131184 3392116 3578496 3876704 4174912 5088174 5815056 6262368 6784232 7753408 8349824 10176348 11630112 12524736 13568464 15506816 20352696 23260224 25049472 27136928 40705392 46520448 54273856 81410784 108547712 162821568 325643136