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670313952 = 2532711167181
BaseRepresentation
bin100111111101000…
…010110111100000
31201201022110212200
4213331002313200
52333100021302
6150303053200
722416401040
oct4775026740
91651273780
10670313952
11314413880
121685a1200
13a8b47299
146504b720
153dcab81c
hex27f42de0

670313952 has 288 divisors, whose sum is σ = 2404007424. Its totient is φ = 172108800.

The previous prime is 670313881. The next prime is 670313957. The reversal of 670313952 is 259313076.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670313957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3703302 + ... + 3703482.

It is an arithmetic number, because the mean of its divisors is an integer number (8347248).

Almost surely, 2670313952 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 670313952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202003712).

670313952 is an abundant number, since it is smaller than the sum of its proper divisors (1733693472).

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

670313952 is a wasteful number, since it uses less digits than its factorization.

670313952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 670313952 is about 25890.4220127830. The cubic root of 670313952 is about 875.1706669001.

The spelling of 670313952 in words is "six hundred seventy million, three hundred thirteen thousand, nine hundred fifty-two".