Search a number
-
+
325606512 = 243711372381
BaseRepresentation
bin10011011010000…
…101110001110000
3211200200112011110
4103122011301300
51131323402022
652150513320
711032416060
oct2332056160
9750615143
10325606512
11157883aa0
1291065840
13525c509a
143135b3a0
151d8bb00c
hex13685c70

325606512 has 160 divisors (see below), whose sum is σ = 1077502464. Its totient is φ = 82252800.

The previous prime is 325606493. The next prime is 325606513. The reversal of 325606512 is 215606523.

It is a super-2 number, since 2×3256065122 = 212039201313612288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 325606512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325606513) by changing a digit.

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, 135562 + ... + 137942.

Almost surely, 2325606512 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 325606512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538751232).

325606512 is an abundant number, since it is smaller than the sum of its proper divisors (751895952).

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

325606512 is a wasteful number, since it uses less digits than its factorization.

325606512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 325606512 is about 18044.5701528188. The cubic root of 325606512 is about 687.9618578999.

The spelling of 325606512 in words is "three hundred twenty-five million, six hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 518 528 592 616 777 814 888 924 1036 1221 1232 1554 1628 1776 1848 2072 2381 2442 2849 3108 3256 3696 4144 4762 4884 5698 6216 6512 7143 8547 9524 9768 11396 12432 14286 16667 17094 19048 19536 22792 26191 28572 33334 34188 38096 45584 50001 52382 57144 66668 68376 78573 88097 100002 104764 114288 133336 136752 157146 176194 183337 200004 209528 264291 266672 314292 352388 366674 400008 419056 528582 550011 616679 628584 704776 733348 800016 969067 1057164 1100022 1233358 1257168 1409552 1466696 1850037 1938134 2114328 2200044 2466716 2907201 2933392 3700074 3876268 4228656 4400088 4933432 5814402 6783469 7400148 7752536 8800176 9866864 11628804 13566938 14800296 15505072 20350407 23257608 27133876 29600592 40700814 46515216 54267752 81401628 108535504 162803256 325606512