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70057344 = 273767389
BaseRepresentation
bin1000010110011…
…11110110000000
311212211021121110
410023033312000
5120413313334
610541323320
71510322550
oct413176600
9155737543
1070057344
1136600135
121b566540
131168b966
149439160
15623cae9
hex42cfd80

70057344 has 128 divisors (see below), whose sum is σ = 216403200. Its totient is φ = 19666944.

The previous prime is 70057331. The next prime is 70057373. The reversal of 70057344 is 44375007.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179902 + ... + 180290.

It is an arithmetic number, because the mean of its divisors is an integer number (1690650).

Almost surely, 270057344 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 70057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108201600).

70057344 is an abundant number, since it is smaller than the sum of its proper divisors (146345856).

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

70057344 is a wasteful number, since it uses less digits than its factorization.

70057344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 70057344 is about 8370.0265232555. The cubic root of 70057344 is about 412.2410378282.

The spelling of 70057344 in words is "seventy million, fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 268 336 384 389 402 448 469 536 672 778 804 896 938 1072 1167 1344 1407 1556 1608 1876 2144 2334 2688 2723 2814 3112 3216 3752 4288 4668 5446 5628 6224 6432 7504 8169 8576 9336 10892 11256 12448 12864 15008 16338 18672 21784 22512 24896 25728 26063 30016 32676 37344 43568 45024 49792 52126 60032 65352 74688 78189 87136 90048 104252 130704 149376 156378 174272 180096 182441 208504 261408 312756 348544 364882 417008 522816 547323 625512 729764 834016 1045632 1094646 1251024 1459528 1668032 2189292 2502048 2919056 3336064 4378584 5004096 5838112 8757168 10008192 11676224 17514336 23352448 35028672 70057344