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730207728 = 243231374421
BaseRepresentation
bin101011100001100…
…001010111110000
31212220000101200200
4223201201113300
52443413121403
6200242515200
724044443335
oct5341412760
91786011620
10730207728
11345201968
12184665b00
13b8387aa3
146cd9c98c
154418cca3
hex2b8615f0

730207728 has 120 divisors (see below), whose sum is σ = 2166992256. Its totient is φ = 229132800.

The previous prime is 730207711. The next prime is 730207729. The reversal of 730207728 is 827702037.

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

It is a junction number, because it is equal to n+sod(n) for n = 730207692 and 730207701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730207729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162958 + ... + 167378.

Almost surely, 2730207728 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 730207728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083496128).

730207728 is an abundant number, since it is smaller than the sum of its proper divisors (1436784528).

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

730207728 is a wasteful number, since it uses less digits than its factorization.

730207728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 730207728 is about 27022.3560778848. The cubic root of 730207728 is about 900.4967331971.

The spelling of 730207728 in words is "seven hundred thirty million, two hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 444 496 558 592 666 744 888 1116 1147 1332 1488 1776 2232 2294 2664 3441 4421 4464 4588 5328 6882 8842 9176 10323 13263 13764 17684 18352 20646 26526 27528 35368 39789 41292 53052 55056 70736 79578 82584 106104 137051 159156 163577 165168 212208 274102 318312 327154 411153 490731 548204 636624 654308 822306 981462 1096408 1233459 1308616 1472193 1644612 1962924 2192816 2466918 2617232 2944386 3289224 3925848 4933836 5070887 5888772 6578448 7851696 9867672 10141774 11777544 15212661 19735344 20283548 23555088 30425322 40567096 45637983 60850644 81134192 91275966 121701288 182551932 243402576 365103864 730207728