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670377456 = 2432717192971
BaseRepresentation
bin100111111101010…
…010010111110000
31201201102200222200
4213331102113300
52333104034311
6150304303200
722420054140
oct4775222760
91651380880
10670377456
11314457561
12168611b00
13a8b6a168
1465066920
153dcc0556
hex27f525f0

670377456 has 480 divisors, whose sum is σ = 2506982400. Its totient is φ = 162570240.

The previous prime is 670377431. The next prime is 670377479. The reversal of 670377456 is 654773076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9441901 + ... + 9441971.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2670377456 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 670377456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253491200).

670377456 is an abundant number, since it is smaller than the sum of its proper divisors (1836604944).

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

670377456 is a wasteful number, since it uses less digits than its factorization.

670377456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 670377456 is about 25891.6483832142. The cubic root of 670377456 is about 875.1983032452.

The spelling of 670377456 in words is "six hundred seventy million, three hundred seventy-seven thousand, four hundred fifty-six".