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70624368 = 24321983311
BaseRepresentation
bin1000011010110…
…10010001110000
311220220002102100
410031122101300
5121034434433
611001420400
71515203643
oct415322160
9156802370
1070624368
1136958151
121b79a700
1311829a89
149545a5a
156300b13
hex435a470

70624368 has 120 divisors (see below), whose sum is σ = 211236480. Its totient is φ = 21962880.

The previous prime is 70624363. The next prime is 70624369. The reversal of 70624368 is 86342607.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70624363) by changing a digit.

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, 226933 + ... + 227243.

It is an arithmetic number, because the mean of its divisors is an integer number (1760304).

Almost surely, 270624368 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 70624368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

70624368 is an abundant number, since it is smaller than the sum of its proper divisors (140612112).

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

70624368 is a wasteful number, since it uses less digits than its factorization.

70624368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 70624368 is about 8403.8305551695. The cubic root of 70624368 is about 413.3502374865.

The spelling of 70624368 in words is "seventy million, six hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 83 114 144 152 166 171 228 249 304 311 332 342 456 498 622 664 684 747 912 933 996 1244 1328 1368 1494 1577 1866 1992 2488 2736 2799 2988 3154 3732 3984 4731 4976 5598 5909 5976 6308 7464 9462 11196 11818 11952 12616 14193 14928 17727 18924 22392 23636 25232 25813 28386 35454 37848 44784 47272 51626 53181 56772 70908 75696 77439 94544 103252 106362 113544 141816 154878 206504 212724 227088 232317 283632 309756 413008 425448 464634 490447 619512 850896 929268 980894 1239024 1471341 1858536 1961788 2942682 3717072 3923576 4414023 5885364 7847152 8828046 11770728 17656092 23541456 35312184 70624368