Search a number
-
+
842971304 = 23722922557
BaseRepresentation
bin110010001111101…
…011100010101000
32011202012101020102
4302033223202220
53211300040204
6215351444532
726614065200
oct6217534250
92152171212
10842971304
113a29208aa
121b6386748
13105849cb6
147dd53400
154e01441e
hex323eb8a8

842971304 has 72 divisors (see below), whose sum is σ = 1904955390. Its totient is φ = 348679296.

The previous prime is 842971303. The next prime is 842971319. The reversal of 842971304 is 403179248.

842971304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 712783204 + 130188100 = 26698^2 + 11410^2 .

It is not an unprimeable number, because it can be changed into a prime (842971303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 328394 + ... + 330950.

Almost surely, 2842971304 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 842971304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952477695).

842971304 is an abundant number, since it is smaller than the sum of its proper divisors (1061984086).

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

842971304 is a wasteful number, since it uses less digits than its factorization.

842971304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 842971304 is about 29033.9681063405. The cubic root of 842971304 is about 944.6500029903.

The spelling of 842971304 in words is "eight hundred forty-two million, nine hundred seventy-one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 841 1421 1624 1682 2557 2842 3364 5114 5684 5887 6728 10228 11368 11774 17899 20456 23548 35798 41209 47096 71596 74153 82418 125293 143192 148306 164836 250586 296612 329672 501172 519071 593224 1002344 1038142 2076284 2150437 3633497 4152568 4300874 7266994 8601748 14533988 15053059 17203496 29067976 30106118 60212236 105371413 120424472 210742826 421485652 842971304