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325917144 = 233276110601
BaseRepresentation
bin10011011011010…
…001100111011000
3211201021022021100
4103123101213120
51131413322034
652201311400
711035151520
oct2333214730
9751238240
10325917144
11157a76413
1291195560
13526a35a7
14313dc680
151d92d099
hex136d19d8

325917144 has 96 divisors (see below), whose sum is σ = 1025425440. Its totient is φ = 91584000.

The previous prime is 325917139. The next prime is 325917157. The reversal of 325917144 is 441719523.

325917144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 325917099 and 325917108.

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, 25444 + ... + 36044.

It is an arithmetic number, because the mean of its divisors is an integer number (10681515).

Almost surely, 2325917144 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 325917144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512712720).

325917144 is an abundant number, since it is smaller than the sum of its proper divisors (699508296).

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

325917144 is a wasteful number, since it uses less digits than its factorization.

325917144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10681 (or 10674 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 325917144 is about 18053.1754547503. The cubic root of 325917144 is about 688.1805626224.

The spelling of 325917144 in words is "three hundred twenty-five million, nine hundred seventeen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 732 854 1098 1281 1464 1708 2196 2562 3416 3843 4392 5124 7686 10248 10601 15372 21202 30744 31803 42404 63606 74207 84808 95409 127212 148414 190818 222621 254424 296828 381636 445242 593656 646661 667863 763272 890484 1293322 1335726 1780968 1939983 2586644 2671452 3879966 4526627 5173288 5342904 5819949 7759932 9053254 11639898 13579881 15519864 18106508 23279796 27159762 36213016 40739643 46559592 54319524 81479286 108639048 162958572 325917144