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684136336 = 241325032
BaseRepresentation
bin101000110001110…
…001011110010000
31202200022201121211
4220301301132100
52400114330321
6151515225504
722645030402
oct5061613620
91680281554
10684136336
113211a4834
12171148294
13ab976900
1466c08b72
15400dc0e1
hex28c71790

684136336 has 45 divisors (see below), whose sum is σ = 1438179249. Its totient is φ = 315127488.

The previous prime is 684136319. The next prime is 684136339. The reversal of 684136336 is 633631486.

The square root of 684136336 is 26156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101203600 + 582932736 = 10060^2 + 24144^2 .

It is not an unprimeable number, because it can be changed into a prime (684136339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1359861 + ... + 1360363.

Almost surely, 2684136336 is an apocalyptic number.

684136336 is the 26156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684136336

684136336 is an abundant number, since it is smaller than the sum of its proper divisors (754042913).

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

684136336 is an equidigital number, since it uses as much as digits as its factorization.

684136336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 518 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The cubic root of 684136336 is about 881.1453474907.

Multiplying 684136336 by its product of digits (186624), we get a square (127676259569664 = 112993922).

The spelling of 684136336 in words is "six hundred eighty-four million, one hundred thirty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 503 676 1006 1352 2012 2704 4024 6539 8048 13078 26156 52312 85007 104624 170014 253009 340028 506018 680056 1012036 1360112 2024072 3289117 4048144 6578234 13156468 26312936 42758521 52625872 85517042 171034084 342068168 684136336