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674468368 = 24741191769
BaseRepresentation
bin101000001100111…
…001001000010000
31202000010112122221
4220030321020100
52340130441433
6150532110424
722466613040
oct5014711020
91660115587
10674468368
113167a1082
12169a65414
13a9970212
146580d720
153e32c72d
hex28339210

674468368 has 80 divisors (see below), whose sum is σ = 1539901440. Its totient is φ = 280166400.

The previous prime is 674468359. The next prime is 674468369. The reversal of 674468368 is 863864476.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (674468369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876688 + ... + 877456.

It is an arithmetic number, because the mean of its divisors is an integer number (19248768).

Almost surely, 2674468368 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 674468368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769950720).

674468368 is an abundant number, since it is smaller than the sum of its proper divisors (865433072).

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

674468368 is a wasteful number, since it uses less digits than its factorization.

674468368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 52.

The square root of 674468368 is about 25970.5288355859. The cubic root of 674468368 is about 876.9749644732.

The spelling of 674468368 in words is "six hundred seventy-four million, four hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 191 287 328 382 574 656 764 769 1148 1337 1528 1538 2296 2674 3056 3076 4592 5348 5383 6152 7831 10696 10766 12304 15662 21392 21532 31324 31529 43064 54817 62648 63058 86128 109634 125296 126116 146879 219268 220703 252232 293758 438536 441406 504464 587516 877072 882812 1028153 1175032 1765624 2056306 2350064 3531248 4112612 6022039 8225224 12044078 16450448 24088156 42154273 48176312 84308546 96352624 168617092 337234184 674468368