Search a number
-
+
3272256144 = 24348093121
BaseRepresentation
bin1100001100001010…
…1010101010010000
322110001022211120000
43003002222222100
523200144144034
61300411450000
7144042501243
oct30302525220
98401284500
103272256144
11142a115523
12773a56900
13401c1a251
1423083725a
15142422599
hexc30aaa90

3272256144 has 100 divisors (see below), whose sum is σ = 9485603820. Its totient is φ = 1089054720.

The previous prime is 3272256109. The next prime is 3272256167. The reversal of 3272256144 is 4416522723.

3272256144 is a `hidden beast` number, since 32 + 7 + 2 + 2 + 5 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1108890000 + 2163366144 = 33300^2 + 46512^2 .

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 = 3272256099 and 3272256108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1046904 + ... + 1050024.

Almost surely, 23272256144 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 3272256144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742801910).

3272256144 is an abundant number, since it is smaller than the sum of its proper divisors (6213347676).

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

3272256144 is a wasteful number, since it uses less digits than its factorization.

3272256144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3935 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 3272256144 is about 57203.6375067180. The cubic root of 3272256144 is about 1484.6215625816.

Adding to 3272256144 its reverse (4416522723), we get a palindrome (7688778867).

The spelling of 3272256144 in words is "three billion, two hundred seventy-two million, two hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 809 1296 1618 2427 3121 3236 4854 6242 6472 7281 9363 9708 12484 12944 14562 18726 19416 21843 24968 28089 29124 37452 38832 43686 49936 56178 58248 65529 74904 84267 87372 112356 116496 131058 149808 168534 174744 224712 252801 262116 337068 349488 449424 505602 524232 674136 1011204 1048464 1348272 2022408 2524889 4044816 5049778 7574667 10099556 15149334 20199112 22724001 30298668 40398224 45448002 60597336 68172003 90896004 121194672 136344006 181792008 204516009 272688012 363584016 409032018 545376024 818064036 1090752048 1636128072 3272256144