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670348224 = 2634731329
BaseRepresentation
bin100111111101001…
…011001111000000
31201201101012220000
4213331023033000
52333102120344
6150303520000
722416603000
oct4775131700
91651335800
10670348224
113144375a7
121685b9000
13a8b59a70
146505a000
153dcb6a69
hex27f4b3c0

670348224 has 560 divisors, whose sum is σ = 2581656000. Its totient is φ = 170698752.

The previous prime is 670348219. The next prime is 670348241. The reversal of 670348224 is 422843076.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23115442 + ... + 23115470.

It is an arithmetic number, because the mean of its divisors is an integer number (4610100).

Almost surely, 2670348224 is an apocalyptic number.

670348224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670348224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290828000).

670348224 is an abundant number, since it is smaller than the sum of its proper divisors (1911307776).

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

670348224 is a wasteful number, since it uses less digits than its factorization.

670348224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 670348224 is about 25891.0838707073. The cubic root of 670348224 is about 875.1855819698.

The spelling of 670348224 in words is "six hundred seventy million, three hundred forty-eight thousand, two hundred twenty-four".