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684244480 = 2952311621
BaseRepresentation
bin101000110010001…
…011111000000000
31202200112012222011
4220302023320000
52400131310410
6151521422304
722645660603
oct5062137000
91680465864
10684244480
11321269007
1217119a994
13ab9b3bba
1466c3633a
154010e18a
hex28c8be00

684244480 has 80 divisors (see below), whose sum is σ = 1712060064. Its totient is φ = 261775360.

The previous prime is 684244459. The next prime is 684244487. The reversal of 684244480 is 84442486.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684244487) 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, 53070 + ... + 64690.

Almost surely, 2684244480 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 684244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856030032).

684244480 is an abundant number, since it is smaller than the sum of its proper divisors (1027815584).

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

684244480 is a wasteful number, since it uses less digits than its factorization.

684244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667 (or 11651 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The square root of 684244480 is about 26158.0672068867. The cubic root of 684244480 is about 881.1917736960.

The spelling of 684244480 in words is "six hundred eighty-four million, two hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1280 1472 1840 2560 2944 3680 5888 7360 11621 11776 14720 23242 29440 46484 58105 58880 92968 116210 185936 232420 267283 371872 464840 534566 743744 929680 1069132 1336415 1487488 1859360 2138264 2672830 2974976 3718720 4276528 5345660 5949952 7437440 8553056 10691320 14874880 17106112 21382640 29749760 34212224 42765280 68424448 85530560 136848896 171061120 342122240 684244480