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667340916 = 2231117833583
BaseRepresentation
bin100111110001101…
…101000001110100
31201111201102122020
4213301231001310
52331314402131
6150115233140
722352206224
oct4761550164
91644642566
10667340916
11312773120
121675a87b0
13a8345ca8
14648b6084
153d8c0996
hex27c6d074

667340916 has 96 divisors (see below), whose sum is σ = 1820786688. Its totient is φ = 187983360.

The previous prime is 667340911. The next prime is 667340939. The reversal of 667340916 is 619043766.

667340916 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 (667340911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184461 + ... + 188043.

It is an arithmetic number, because the mean of its divisors is an integer number (18966528).

Almost surely, 2667340916 is an apocalyptic number.

667340916 is a gapful number since it is divisible by the number (66) 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 667340916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910393344).

667340916 is an abundant number, since it is smaller than the sum of its proper divisors (1153445772).

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

667340916 is a wasteful number, since it uses less digits than its factorization.

667340916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 667340916 is about 25832.9424572579. The cubic root of 667340916 is about 873.8748710300.

The spelling of 667340916 in words is "six hundred sixty-seven million, three hundred forty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 83 102 132 166 187 204 249 332 374 498 561 748 913 996 1122 1411 1826 2244 2739 2822 3583 3652 4233 5478 5644 7166 8466 10749 10956 14332 15521 16932 21498 31042 39413 42996 46563 60911 62084 78826 93126 118239 121822 157652 182733 186252 236478 243644 297389 365466 472956 594778 670021 730932 892167 1189556 1340042 1784334 2010063 2680084 3271279 3568668 4020126 5055613 6542558 8040252 9813837 10111226 13085116 15166839 19627674 20222452 30333678 39255348 55611743 60667356 111223486 166835229 222446972 333670458 667340916