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325293072 = 243131927437
BaseRepresentation
bin10011011000111…
…001010000010000
3211200002121012120
4103120321100100
51131233334242
652140054240
711026642206
oct2330712020
9750077176
10325293072
1115768a555
1290b34380
1352515510
14312b9076
151d8581ec
hex13639410

325293072 has 80 divisors (see below), whose sum is σ = 952647360. Its totient is φ = 94818816.

The previous prime is 325293061. The next prime is 325293083. The reversal of 325293072 is 270392523.

325293072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (325293061) and next prime (325293083).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1863 + ... + 25574.

It is an arithmetic number, because the mean of its divisors is an integer number (11908092).

Almost surely, 2325293072 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 325293072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476323680).

325293072 is an abundant number, since it is smaller than the sum of its proper divisors (627354288).

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

325293072 is a wasteful number, since it uses less digits than its factorization.

325293072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27480 (or 27474 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 325293072 is about 18035.8829004848. The cubic root of 325293072 is about 687.7410351314.

The spelling of 325293072 in words is "three hundred twenty-five million, two hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 27437 54874 82311 109748 164622 219496 329244 356681 438992 521303 658488 713362 1042606 1070043 1316976 1426724 1563909 2085212 2140086 2853448 3127818 4170424 4280172 5706896 6255636 6776939 8340848 8560344 12511272 13553878 17120688 20330817 25022544 27107756 40661634 54215512 81323268 108431024 162646536 325293072