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1395644328 = 2332135232851
BaseRepresentation
bin101001100101111…
…1101011110101000
310121021011002002200
41103023331132220
510324241104303
6350253300200
746404531621
oct12313753650
93537132080
101395644328
11656894271
1232b494660
131931b5060
14d34daa48
15827d43a3
hex532fd7a8

1395644328 has 96 divisors (see below), whose sum is σ = 4079843040. Its totient is φ = 428457600.

The previous prime is 1395644303. The next prime is 1395644357. The reversal of 1395644328 is 8234465931.

1395644328 is a `hidden beast` number, since 139 + 56 + 443 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488103 + ... + 490953.

It is an arithmetic number, because the mean of its divisors is an integer number (42498365).

Almost surely, 21395644328 is an apocalyptic number.

1395644328 is a gapful number since it is divisible by the number (18) 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 1395644328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039921520).

1395644328 is an abundant number, since it is smaller than the sum of its proper divisors (2684198712).

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

1395644328 is a wasteful number, since it uses less digits than its factorization.

1395644328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3392 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1395644328 is about 37358.3234099176. The cubic root of 1395644328 is about 1117.5275839625.

The spelling of 1395644328 in words is "one billion, three hundred ninety-five million, six hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 523 936 1046 1569 2092 2851 3138 4184 4707 5702 6276 6799 8553 9414 11404 12552 13598 17106 18828 20397 22808 25659 27196 34212 37063 37656 40794 51318 54392 61191 68424 74126 81588 102636 111189 122382 148252 163176 205272 222378 244764 296504 333567 444756 489528 667134 889512 1334268 1491073 2668536 2982146 4473219 5964292 8946438 11928584 13419657 17892876 19383949 26839314 35785752 38767898 53678628 58151847 77535796 107357256 116303694 155071592 174455541 232607388 348911082 465214776 697822164 1395644328