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70315344 = 24331114797
BaseRepresentation
bin1000011000011…
…10110101010000
311220022101112000
410030032311100
5121000042334
610551034000
71512446001
oct414166520
9156271460
1070315344
1136766a60
121b66b900
131174c218
1494a51a8
15628e299
hex430ed50

70315344 has 80 divisors (see below), whose sum is σ = 220194240. Its totient is φ = 21306240.

The previous prime is 70315339. The next prime is 70315351. The reversal of 70315344 is 44351307.

70315344 is a `hidden beast` number, since 7 + 0 + 315 + 344 = 666.

It is a super-3 number, since 3×703153443 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2647 + ... + 12150.

It is an arithmetic number, because the mean of its divisors is an integer number (2752428).

Almost surely, 270315344 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 70315344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110097120).

70315344 is an abundant number, since it is smaller than the sum of its proper divisors (149878896).

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

70315344 is a wasteful number, since it uses less digits than its factorization.

70315344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825 (or 14813 counting only the distinct ones).

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

The square root of 70315344 is about 8385.4244973048. The cubic root of 70315344 is about 412.7464708849.

The spelling of 70315344 in words is "seventy million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 14797 29594 44391 59188 88782 118376 133173 162767 177564 236752 266346 325534 355128 399519 488301 532692 651068 710256 799038 976602 1065384 1302136 1464903 1598076 1953204 2130768 2604272 2929806 3196152 3906408 4394709 5859612 6392304 7812816 8789418 11719224 17578836 23438448 35157672 70315344