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70326144 = 273571719
BaseRepresentation
bin1000011000100…
…01011110000000
311220022221100000
410030101132000
5121000414034
610551200000
71512522330
oct414213600
9156287300
1070326144
1136774089
121b676000
1311754105
1494a90c0
156292599
hex4311780

70326144 has 384 divisors, whose sum is σ = 267321600. Its totient is φ = 17915904.

The previous prime is 70326097. The next prime is 70326167. The reversal of 70326144 is 44162307.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701367 + ... + 3701385.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 270326144 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 70326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

70326144 is an abundant number, since it is smaller than the sum of its proper divisors (196995456).

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

70326144 is a wasteful number, since it uses less digits than its factorization.

70326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 70326144 is about 8386.0684471330. The cubic root of 70326144 is about 412.7676015676.

The spelling of 70326144 in words is "seventy million, three hundred twenty-six thousand, one hundred forty-four".