Search a number
-
+
327555072 = 21132131367
BaseRepresentation
bin10011100001100…
…001100000000000
3211211100112002100
4103201201200000
51132323230242
652300350400
711055113025
oct2341414000
9754315070
10327555072
11158994a79
1291845400
1352b27c90
143170754c
151db5354c
hex13861800

327555072 has 144 divisors (see below), whose sum is σ = 1019556720. Its totient is φ = 100712448.

The previous prime is 327555017. The next prime is 327555091. The reversal of 327555072 is 270555723.

It is a happy number.

327555072 is a `hidden beast` number, since 32 + 7 + 5 + 550 + 72 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238933 + ... + 240299.

It is an arithmetic number, because the mean of its divisors is an integer number (7080255).

Almost surely, 2327555072 is an apocalyptic number.

327555072 is a gapful number since it is divisible by the number (32) 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 327555072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509778360).

327555072 is an abundant number, since it is smaller than the sum of its proper divisors (692001648).

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

327555072 is a wasteful number, since it uses less digits than its factorization.

327555072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 327555072 is about 18098.4825883277. The cubic root of 327555072 is about 689.3314759962.

The spelling of 327555072 in words is "three hundred twenty-seven million, five hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1367 1536 1664 1872 2048 2304 2496 2734 3072 3328 3744 4101 4608 4992 5468 6144 6656 7488 8202 9216 9984 10936 12303 13312 14976 16404 17771 18432 19968 21872 24606 26624 29952 32808 35542 39936 43744 49212 53313 59904 65616 71084 79872 87488 98424 106626 119808 131232 142168 159939 174976 196848 213252 239616 262464 284336 319878 349952 393696 426504 524928 568672 639756 699904 787392 853008 1049856 1137344 1279512 1399808 1574784 1706016 2099712 2274688 2559024 2799616 3149568 3412032 4199424 4549376 5118048 6299136 6824064 8398848 9098752 10236096 12598272 13648128 18197504 20472192 25196544 27296256 36395008 40944384 54592512 81888768 109185024 163777536 327555072