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30793224 = 23371119877
BaseRepresentation
bin111010101110…
…1111000001000
32010221110100210
41311131320020
530340340344
63020001120
7522511110
oct165357010
963843323
1030793224
1116422450
12a3901a0
1364c2057
144138040
152a83db9
hex1d5de08

30793224 has 128 divisors (see below), whose sum is σ = 101145600. Its totient is φ = 7568640.

The previous prime is 30793223. The next prime is 30793229. The reversal of 30793224 is 42239703.

It is a junction number, because it is equal to n+sod(n) for n = 30793191 and 30793200.

It is not an unprimeable number, because it can be changed into a prime (30793223) 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 31 ways as a sum of consecutive naturals, for example, 34674 + ... + 35550.

It is an arithmetic number, because the mean of its divisors is an integer number (790200).

Almost surely, 230793224 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 30793224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50572800).

30793224 is an abundant number, since it is smaller than the sum of its proper divisors (70352376).

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

30793224 is a wasteful number, since it uses less digits than its factorization.

30793224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 30793224 is about 5549.1642614001. The cubic root of 30793224 is about 313.4380526192.

The spelling of 30793224 in words is "thirty million, seven hundred ninety-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 877 924 1064 1254 1463 1596 1672 1754 1848 2508 2631 2926 3192 3508 4389 5016 5262 5852 6139 7016 8778 9647 10524 11704 12278 16663 17556 18417 19294 21048 24556 28941 33326 35112 36834 38588 49112 49989 57882 66652 67529 73668 77176 99978 115764 116641 133304 135058 147336 183293 199956 202587 231528 233282 270116 349923 366586 399912 405174 466564 540232 549879 699846 733172 810348 933128 1099758 1283051 1399692 1466344 1620696 2199516 2566102 2799384 3849153 4399032 5132204 7698306 10264408 15396612 30793224