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1684285344 = 25327835459
BaseRepresentation
bin110010001100100…
…0010011110100000
311100101021120010200
41210121002132200
511422134112334
6435044025200
756511121620
oct14431023640
94311246120
101684285344
1179480a565
123b0092200
1320ac36861
1411d994880
159ccec799
hex646427a0

1684285344 has 72 divisors (see below), whose sum is σ = 5473933920. Its totient is φ = 481223808.

The previous prime is 1684285333. The next prime is 1684285349. The reversal of 1684285344 is 4435824861.

1684285344 is a `hidden beast` number, since 16 + 84 + 28 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1684285344.

It is not an unprimeable number, because it can be changed into a prime (1684285349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415714 + ... + 419745.

It is an arithmetic number, because the mean of its divisors is an integer number (76026860).

Almost surely, 21684285344 is an apocalyptic number.

1684285344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1684285344 is an abundant number, since it is smaller than the sum of its proper divisors (3789648576).

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

1684285344 is a wasteful number, since it uses less digits than its factorization.

1684285344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835482 (or 835471 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 1684285344 is about 41040.0456140097. The cubic root of 1684285344 is about 1189.7943160739.

The spelling of 1684285344 in words is "one billion, six hundred eighty-four million, two hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 835459 1670918 2506377 3341836 5012754 5848213 6683672 7519131 10025508 11696426 13367344 15038262 17544639 20051016 23392852 26734688 30076524 35089278 40102032 46785704 52633917 60153048 70178556 80204064 93571408 105267834 120306096 140357112 187142816 210535668 240612192 280714224 421071336 561428448 842142672 1684285344