Search a number
-
+
643316364 = 223319313507
BaseRepresentation
bin100110010110000…
…011101010001100
31122211111212011000
4212112003222030
52304142110424
6143500300300
721641045625
oct4626035214
91584455130
10643316364
11300154119
1215b541690
13a3383a92
1461620a4c
153b7273c9
hex26583a8c

643316364 has 48 divisors (see below), whose sum is σ = 1755644800. Its totient is φ = 203151888.

The previous prime is 643316347. The next prime is 643316381. The reversal of 643316364 is 463613346.

643316364 is a `hidden beast` number, since 6 + 433 + 163 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (643316347) and next prime (643316381).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 154702 + ... + 158805.

Almost surely, 2643316364 is an apocalyptic number.

It is an amenable number.

643316364 is an abundant number, since it is smaller than the sum of its proper divisors (1112328436).

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

643316364 is a wasteful number, since it uses less digits than its factorization.

643316364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313539 (or 313531 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 643316364 is about 25363.6819882288. The cubic root of 643316364 is about 863.2598309872.

The spelling of 643316364 in words is "six hundred forty-three million, three hundred sixteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 313507 627014 940521 1254028 1881042 2821563 3762084 5643126 5956633 8464689 11286252 11913266 16929378 17869899 23826532 33858756 35739798 53609697 71479596 107219394 160829091 214438788 321658182 643316364