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70372368 = 24331159251
BaseRepresentation
bin1000011000111…
…00110000010000
311220102021202000
410030130300100
5121003403433
610552154000
71513104153
oct414346020
9156367660
1070372368
11367a5890
121b698900
131176c171
1494bbc9a
1562a1113
hex431cc10

70372368 has 160 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 20880000.

The previous prime is 70372363. The next prime is 70372369. The reversal of 70372368 is 86327307.

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

It is not an unprimeable number, because it can be changed into a prime (70372361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280243 + ... + 280493.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 270372368 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 70372368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

70372368 is an abundant number, since it is smaller than the sum of its proper divisors (154613232).

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

70372368 is a wasteful number, since it uses less digits than its factorization.

70372368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 70372368 is about 8388.8239938623. The cubic root of 70372368 is about 412.8580164537.

The spelling of 70372368 in words is "seventy million, three hundred seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 59 66 72 88 99 108 118 132 144 176 177 198 216 236 251 264 297 354 396 432 472 502 528 531 594 649 708 753 792 944 1004 1062 1188 1298 1416 1506 1584 1593 1947 2008 2124 2259 2376 2596 2761 2832 3012 3186 3894 4016 4248 4518 4752 5192 5522 5841 6024 6372 6777 7788 8283 8496 9036 10384 11044 11682 12048 12744 13554 14809 15576 16566 17523 18072 22088 23364 24849 25488 27108 29618 31152 33132 35046 36144 44176 44427 46728 49698 54216 59236 66264 70092 74547 88854 93456 99396 108432 118472 132528 133281 140184 149094 162899 177708 198792 236944 266562 280368 298188 325798 355416 397584 399843 488697 533124 596376 651596 710832 799686 977394 1066248 1192752 1303192 1466091 1599372 1954788 2132496 2606384 2932182 3198744 3909576 4398273 5864364 6397488 7819152 8796546 11728728 17593092 23457456 35186184 70372368