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674738064 = 24327111331151
BaseRepresentation
bin101000001101111…
…010111110010000
31202000122020121200
4220031322332100
52340213104224
6150541551200
722502115240
oct5015727620
91660566550
10674738064
11316965770
12169b75500
13a9a35bc0
146587db20
153e3825c9
hex2837af90

674738064 has 480 divisors, whose sum is σ = 2634498048. Its totient is φ = 155520000.

The previous prime is 674738059. The next prime is 674738083. The reversal of 674738064 is 460837476.

674738064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4468389 + ... + 4468539.

Almost surely, 2674738064 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 674738064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317249024).

674738064 is an abundant number, since it is smaller than the sum of its proper divisors (1959759984).

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

674738064 is a wasteful number, since it uses less digits than its factorization.

674738064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 674738064 is about 25975.7206637275. The cubic root of 674738064 is about 877.0918393005.

The spelling of 674738064 in words is "six hundred seventy-four million, seven hundred thirty-eight thousand, sixty-four".