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690930304 = 2723376343
BaseRepresentation
bin101001001011101…
…100001010000000
31210011002220012021
4221023230022000
52403334232204
6152321011224
723056545031
oct5113541200
91704086167
10690930304
11325015189
12173483b14
13b01b50cc
1467a96a88
15409d0154
hex292ec280

690930304 has 64 divisors (see below), whose sum is σ = 1475360640. Its totient is φ = 321463296.

The previous prime is 690930301. The next prime is 690930311. The reversal of 690930304 is 403039096.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 690930304.

It is not an unprimeable number, because it can be changed into a prime (690930301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 105757 + ... + 112099.

It is an arithmetic number, because the mean of its divisors is an integer number (23052510).

Almost surely, 2690930304 is an apocalyptic number.

690930304 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 690930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737680320).

690930304 is an abundant number, since it is smaller than the sum of its proper divisors (784430336).

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

690930304 is a wasteful number, since it uses less digits than its factorization.

690930304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 690930304 is about 26285.5531423632. The cubic root of 690930304 is about 884.0525483528.

The spelling of 690930304 in words is "six hundred ninety million, nine hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 128 148 184 296 368 592 736 851 1184 1472 1702 2368 2944 3404 4736 6343 6808 12686 13616 25372 27232 50744 54464 101488 108928 145889 202976 234691 291778 405952 469382 583556 811904 938764 1167112 1877528 2334224 3755056 4668448 5397893 7510112 9336896 10795786 15020224 18673792 21591572 30040448 43183144 86366288 172732576 345465152 690930304