Search a number
-
+
325387296 = 253213233373
BaseRepresentation
bin10011011001010…
…000010000100000
3211200021101110100
4103121100100200
51131244343141
652142102400
711030514003
oct2331202040
9750241410
10325387296
11157744323
1290b7aa00
1352549380
143130153a
151d8760b6
hex13650420

325387296 has 144 divisors (see below), whose sum is σ = 1003458456. Its totient is φ = 99422208.

The previous prime is 325387289. The next prime is 325387297. The reversal of 325387296 is 692783523.

325387296 is a `hidden beast` number, since 325 + 38 + 7 + 296 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182250000 + 143137296 = 13500^2 + 11964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (325387297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 872166 + ... + 872538.

Almost surely, 2325387296 is an apocalyptic number.

325387296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325387296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501729228).

325387296 is an abundant number, since it is smaller than the sum of its proper divisors (678071160).

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

325387296 is a wasteful number, since it uses less digits than its factorization.

325387296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 325387296 is about 18038.4948374303. The cubic root of 325387296 is about 687.8074321347.

The spelling of 325387296 in words is "three hundred twenty-five million, three hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 233 234 288 312 373 416 466 468 624 699 746 932 936 1119 1248 1398 1492 1864 1872 2097 2238 2796 2984 3029 3357 3728 3744 4194 4476 4849 5592 5968 6058 6714 7456 8388 8952 9087 9698 11184 11936 12116 13428 14547 16776 17904 18174 19396 22368 24232 26856 27261 29094 33552 35808 36348 38792 43641 48464 53712 54522 58188 67104 72696 77584 86909 87282 96928 107424 109044 116376 145392 155168 173818 174564 218088 232752 260727 290784 347636 349128 436176 465504 521454 695272 698256 782181 872352 1042908 1129817 1390544 1396512 1564362 2085816 2259634 2781088 3128724 3389451 4171632 4519268 6257448 6778902 8343264 9038536 10168353 12514896 13557804 18077072 20336706 25029792 27115608 36154144 40673412 54231216 81346824 108462432 162693648 325387296