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70744320 = 283352389
BaseRepresentation
bin1000011011101…
…11100100000000
311221010011222000
410031313210000
5121102304240
611004144000
71516213443
oct415674400
9157104860
1070744320
1136a2a289
121b838000
131186c55a
14957765a
156326430
hex4377900

70744320 has 288 divisors, whose sum is σ = 264902400. Its totient is φ = 17842176.

The previous prime is 70744319. The next prime is 70744337. The reversal of 70744320 is 2344707.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 794836 + ... + 794924.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 270744320 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 70744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132451200).

70744320 is an abundant number, since it is smaller than the sum of its proper divisors (194158080).

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

70744320 is a wasteful number, since it uses less digits than its factorization.

70744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 70744320 is about 8410.9642729000. The cubic root of 70744320 is about 413.5841234411.

The spelling of 70744320 in words is "seventy million, seven hundred forty-four thousand, three hundred twenty".