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674045064 = 23367111979
BaseRepresentation
bin101000001011010…
…001110010001000
31201222100001000000
4220023101302020
52340023420224
6150515043000
722463200650
oct5013216210
91658301000
10674045064
11316532040
121698a0460
13a9852644
146573d360
153e2970c9
hex282d1c88

674045064 has 448 divisors, whose sum is σ = 2518272000. Its totient is φ = 163762560.

The previous prime is 674045051. The next prime is 674045089. The reversal of 674045064 is 460540476.

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

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 111 ways as a sum of consecutive naturals, for example, 8532177 + ... + 8532255.

Almost surely, 2674045064 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 674045064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259136000).

674045064 is an abundant number, since it is smaller than the sum of its proper divisors (1844226936).

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

674045064 is a wasteful number, since it uses less digits than its factorization.

674045064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 674045064 is about 25962.3778571994. The cubic root of 674045064 is about 876.7914595988.

The spelling of 674045064 in words is "six hundred seventy-four million, forty-five thousand, sixty-four".