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728242704 = 24337234403
BaseRepresentation
bin101011011010000…
…001101000010000
31212202022120012000
4223122001220100
52442412231304
6200132434000
724021650400
oct5332015020
91782276160
10728242704
1134408a582
12183a78900
13b7b4a557
146ca0a800
1543e00939
hex2b681a10

728242704 has 120 divisors (see below), whose sum is σ = 2431674720. Its totient is φ = 208063296.

The previous prime is 728242703. The next prime is 728242709. The reversal of 728242704 is 407242827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (728242703) 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 23 ways as a sum of consecutive naturals, for example, 3967 + ... + 38369.

It is an arithmetic number, because the mean of its divisors is an integer number (20263956).

Almost surely, 2728242704 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 728242704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215837360).

728242704 is an abundant number, since it is smaller than the sum of its proper divisors (1703432016).

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

728242704 is a wasteful number, since it uses less digits than its factorization.

728242704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34434 (or 34415 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 728242704 is about 26985.9723560223. The cubic root of 728242704 is about 899.6882475796.

The spelling of 728242704 in words is "seven hundred twenty-eight million, two hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 34403 68806 103209 137612 206418 240821 275224 309627 412836 481642 550448 619254 722463 825672 928881 963284 1238508 1444926 1651344 1685747 1857762 1926568 2167389 2477016 2889852 3371494 3715524 3853136 4334778 4954032 5057241 5779704 6502167 6742988 7431048 8669556 10114482 11559408 13004334 13485976 14862096 15171723 17339112 20228964 26008668 26971952 30343446 34678224 40457928 45515169 52017336 60686892 80915856 91030338 104034672 121373784 182060676 242747568 364121352 728242704