Search a number
-
+
816338970 = 232528332051
BaseRepresentation
bin110000101010000…
…101100000011010
32002220002022112200
4300222011200122
53132440321340
6213000551030
726141523666
oct6052054032
92086068480
10816338970
11389890607
121a9482476
13100183b15
147a5bd8a6
154ba03330
hex30a8581a

816338970 has 48 divisors (see below), whose sum is σ = 2130047712. Its totient is φ = 216914400.

The previous prime is 816338969. The next prime is 816338981. The reversal of 816338970 is 79833618.

It is a happy number.

816338970 is a `hidden beast` number, since 8 + 1 + 633 + 8 + 9 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9445 + ... + 41495.

It is an arithmetic number, because the mean of its divisors is an integer number (44375994).

Almost surely, 2816338970 is an apocalyptic number.

816338970 is an abundant number, since it is smaller than the sum of its proper divisors (1313708742).

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

816338970 is a wasteful number, since it uses less digits than its factorization.

816338970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32347 (or 32344 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 816338970 is about 28571.6462598850. The cubic root of 816338970 is about 934.5951214894.

The spelling of 816338970 in words is "eight hundred sixteen million, three hundred thirty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 283 566 849 1415 1698 2547 2830 4245 5094 8490 12735 25470 32051 64102 96153 160255 192306 288459 320510 480765 576918 961530 1442295 2884590 9070433 18140866 27211299 45352165 54422598 81633897 90704330 136056495 163267794 272112990 408169485 816338970