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30713424 = 24371719283
BaseRepresentation
bin111010100101…
…0011001010000
32010210101220020
41311022121100
530330312144
63014143440
7522026340
oct165123120
963711806
1030713424
11163784a5
12a351b80
136494931
144116d20
152a6a419
hex1d4a650

30713424 has 160 divisors (see below), whose sum is σ = 101422080. Its totient is φ = 7796736.

The previous prime is 30713413. The next prime is 30713477. The reversal of 30713424 is 42431703.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30713394 and 30713403.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 108387 + ... + 108669.

It is an arithmetic number, because the mean of its divisors is an integer number (633888).

Almost surely, 230713424 is an apocalyptic number.

30713424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30713424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50711040).

30713424 is an abundant number, since it is smaller than the sum of its proper divisors (70708656).

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

30713424 is a wasteful number, since it uses less digits than its factorization.

30713424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 30713424 is about 5541.9693250685. The cubic root of 30713424 is about 313.1670623293.

It can be divided in two parts, 307 and 13424, that added together give a palindrome (13731).

The spelling of 30713424 in words is "thirty million, seven hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 34 38 42 48 51 56 57 68 76 84 102 112 114 119 133 136 152 168 204 228 238 266 272 283 304 323 336 357 399 408 456 476 532 566 646 714 798 816 849 912 952 969 1064 1132 1292 1428 1596 1698 1904 1938 1981 2128 2261 2264 2584 2856 3192 3396 3876 3962 4522 4528 4811 5168 5377 5712 5943 6384 6783 6792 7752 7924 9044 9622 10754 11886 13566 13584 14433 15504 15848 16131 18088 19244 21508 23772 27132 28866 31696 32262 33677 36176 37639 38488 43016 47544 54264 57732 64524 67354 75278 76976 86032 91409 95088 101031 108528 112917 115464 129048 134708 150556 182818 202062 225834 230928 258096 269416 274227 301112 365636 404124 451668 538832 548454 602224 639863 731272 808248 903336 1096908 1279726 1462544 1616496 1806672 1919589 2193816 2559452 3839178 4387632 5118904 7678356 10237808 15356712 30713424