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674380224 = 26327198803
BaseRepresentation
bin101000001100100…
…011100111000000
31201222222001202100
4220030203213000
52340120131344
6150530150400
722466065050
oct5014434700
91658861670
10674380224
11316740931
12169a22400
13a993c06b
14657c9560
153e311569
hex283239c0

674380224 has 168 divisors, whose sum is σ = 2325664640. Its totient is φ = 182518272.

The previous prime is 674380211. The next prime is 674380247. The reversal of 674380224 is 422083476.

It is a tau number, because it is divible by the number of its divisors (168).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72207 + ... + 81009.

Almost surely, 2674380224 is an apocalyptic number.

674380224 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 674380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162832320).

674380224 is an abundant number, since it is smaller than the sum of its proper divisors (1651284416).

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

674380224 is a wasteful number, since it uses less digits than its factorization.

674380224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847 (or 8834 counting only the distinct ones).

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

The square root of 674380224 is about 25968.8317796546. The cubic root of 674380224 is about 876.9367598405.

The spelling of 674380224 in words is "six hundred seventy-four million, three hundred eighty thousand, two hundred twenty-four".