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712974834 = 232112133149
BaseRepresentation
bin101010011111110…
…010000111110010
31211200120212121100
4222133302013302
52430010143314
6154425305230
723445120555
oct5237620762
91750525540
10712974834
11336501600
1217a935216
13b4933000
146a99469c
15428d6c09
hex2a7f21f2

712974834 has 144 divisors (see below), whose sum is σ = 1851759000. Its totient is φ = 198095040.

The previous prime is 712974827. The next prime is 712974869. The reversal of 712974834 is 438479217.

It can be written as a sum of positive squares in 4 ways, for example, as 245025 + 712729809 = 495^2 + 26697^2 .

It is a super-2 number, since 2×7129748342 = 1016666227834655112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 712974834.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4784992 + ... + 4785140.

Almost surely, 2712974834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712974834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925879500).

712974834 is an abundant number, since it is smaller than the sum of its proper divisors (1138784166).

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

712974834 is a wasteful number, since it uses less digits than its factorization.

712974834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 178 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 712974834 is about 26701.5886044258. The cubic root of 712974834 is about 893.3563599854.

The spelling of 712974834 in words is "seven hundred twelve million, nine hundred seventy-four thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 149 169 198 234 242 286 298 338 363 429 447 507 726 858 894 1014 1089 1287 1341 1521 1573 1639 1859 1937 2178 2197 2574 2682 3042 3146 3278 3718 3874 4394 4719 4917 5577 5811 6591 9438 9834 11154 11622 13182 14157 14751 16731 17433 18029 19773 20449 21307 24167 25181 28314 29502 33462 34866 36058 39546 40898 42614 48334 50362 54087 61347 63921 72501 75543 108174 122694 127842 145002 151086 162261 184041 191763 217503 226629 234377 265837 276991 324522 327353 368082 383526 435006 453258 468754 531674 553982 654706 703131 797511 830973 982059 1406262 1595022 1661946 1964118 2109393 2392533 2492919 2946177 3046901 3600883 4218786 4785066 4985838 5892354 6093802 7201766 9140703 10802649 18281406 21605298 27422109 32407947 39609713 54844218 64815894 79219426 118829139 237658278 356487417 712974834