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746332664 = 237111637433
BaseRepresentation
bin101100011111000…
…010000111111000
31221000100121221112
4230133002013320
53012030121124
6202020255452
724331502660
oct5437020770
91830317845
10746332664
11353315860
12189b41588
13bb81247c
14711991a0
15457c590e
hex2c7c21f8

746332664 has 64 divisors (see below), whose sum is σ = 1755613440. Its totient is φ = 288956160.

The previous prime is 746332663. The next prime is 746332679. The reversal of 746332664 is 466233647.

746332664 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 not an unprimeable number, because it can be changed into a prime (746332663) 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, 96692 + ... + 104124.

It is an arithmetic number, because the mean of its divisors is an integer number (27431460).

Almost surely, 2746332664 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 746332664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877806720).

746332664 is an abundant number, since it is smaller than the sum of its proper divisors (1009280776).

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

746332664 is a wasteful number, since it uses less digits than its factorization.

746332664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7616 counting only the distinct ones).

The product of its digits is 435456, while the sum is 41.

The square root of 746332664 is about 27319.0897359337. The cubic root of 746332664 is about 907.0769890404.

The spelling of 746332664 in words is "seven hundred forty-six million, three hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 163 308 326 616 652 1141 1304 1793 2282 3586 4564 7172 7433 9128 12551 14344 14866 25102 29732 50204 52031 59464 81763 100408 104062 163526 208124 327052 416248 572341 654104 1144682 1211579 2289364 2423158 4578728 4846316 8481053 9692632 13327369 16962106 26654738 33924212 53309476 67848424 93291583 106618952 186583166 373166332 746332664