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70153344 = 273353383
BaseRepresentation
bin1000010111001…
…11010010000000
311220000011022000
410023213102000
5120424401334
610543344000
71511202462
oct413472200
9156004260
1070153344
1136666278
121b5b2000
13116c3571
149462132
15625b299
hex42e7480

70153344 has 128 divisors (see below), whose sum is σ = 211507200. Its totient is φ = 22883328.

The previous prime is 70153333. The next prime is 70153351. The reversal of 70153344 is 44335107.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 182977 + ... + 183359.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 270153344 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 70153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

70153344 is an abundant number, since it is smaller than the sum of its proper divisors (141353856).

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

70153344 is a wasteful number, since it uses less digits than its factorization.

70153344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 70153344 is about 8375.7593088627. The cubic root of 70153344 is about 412.4292506761.

It can be divided in two parts, 701 and 53344, that added together give a palindrome (54045).

The spelling of 70153344 in words is "seventy million, one hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 288 318 383 384 424 432 477 576 636 766 848 864 954 1149 1152 1272 1431 1532 1696 1728 1908 2298 2544 2862 3064 3392 3447 3456 3816 4596 5088 5724 6128 6784 6894 7632 9192 10176 10341 11448 12256 13788 15264 18384 20299 20352 20682 22896 24512 27576 30528 36768 40598 41364 45792 49024 55152 60897 61056 73536 81196 82728 91584 110304 121794 147072 162392 165456 182691 183168 220608 243588 324784 330912 365382 441216 487176 548073 649568 661824 730764 974352 1096146 1299136 1323648 1461528 1948704 2192292 2598272 2923056 3897408 4384584 5846112 7794816 8769168 11692224 17538336 23384448 35076672 70153344