Search a number
-
+
1357332964 = 221341092
BaseRepresentation
bin101000011100111…
…0100000111100100
310111121001122210021
41100321310013210
510234434123324
6342404204524
745431065651
oct12071640744
93447048707
101357332964
116371a7389
1231a699744
13188290000
14cc3a6c28
157e267ae4
hex50e741e4

1357332964 has 45 divisors (see below), whose sum is σ = 2597094717. Its totient is φ = 620714016.

The previous prime is 1357332961. The next prime is 1357332973. The reversal of 1357332964 is 4692337531.

It is a happy number.

The square root of 1357332964 is 36842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1300179364 + 57153600 = 36058^2 + 7560^2 .

It is a super-2 number, since 2×13573329642 = 3684705550322050592, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1357332964.

It is not an unprimeable number, because it can be changed into a prime (1357332961) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12452542 + ... + 12452650.

Almost surely, 21357332964 is an apocalyptic number.

1357332964 is the 36842-nd square number.

It is an amenable number.

1357332964 is a deficient number, since it is larger than the sum of its proper divisors (1239761753).

1357332964 is an frugal number, since it uses more digits than its factorization.

1357332964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 124 counting only the distinct ones).

The product of its digits is 408240, while the sum is 43.

The cubic root of 1357332964 is about 1107.2069387829.

The spelling of 1357332964 in words is "one billion, three hundred fifty-seven million, three hundred thirty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 13 26 52 109 169 218 338 436 676 1417 2197 2834 4394 5668 8788 11881 18421 23762 28561 36842 47524 57122 73684 114244 154453 239473 308906 478946 617812 957892 2007889 3113149 4015778 6226298 8031556 12452596 26102557 52205114 104410228 339333241 678666482 1357332964