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30405804 = 223111322947
BaseRepresentation
bin111001111111…
…1010010101100
32010012202220220
41303333102230
530240441204
63003411340
7516305442
oct163772254
963182826
1030405804
1116188370
12a223b50
1363b7900
144076b92
152a091d9
hex1cff4ac

30405804 has 144 divisors (see below), whose sum is σ = 88542720. Its totient is φ = 8037120.

The previous prime is 30405797. The next prime is 30405901. The reversal of 30405804 is 40850403.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646909 + ... + 646955.

It is an arithmetic number, because the mean of its divisors is an integer number (614880).

Almost surely, 230405804 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 30405804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44271360).

30405804 is an abundant number, since it is smaller than the sum of its proper divisors (58136916).

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

30405804 is a wasteful number, since it uses less digits than its factorization.

30405804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 30405804 is about 5514.1458087359. The cubic root of 30405804 is about 312.1180109135.

The spelling of 30405804 in words is "thirty million, four hundred five thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 47 52 58 66 78 87 94 116 132 141 143 156 169 174 188 282 286 319 338 348 377 429 507 517 564 572 611 638 676 754 858 957 1014 1034 1131 1222 1276 1363 1508 1551 1716 1833 1859 1914 2028 2068 2262 2444 2726 3102 3666 3718 3828 4089 4147 4524 4901 5452 5577 6204 6721 7332 7436 7943 8178 8294 9802 11154 12441 13442 14703 14993 15886 16356 16588 17719 19604 20163 22308 23829 24882 26884 29406 29986 31772 35438 40326 44979 47658 49764 53157 53911 58812 59972 70876 80652 87373 89958 95316 106314 107822 161733 174746 179916 194909 212628 215644 230347 262119 323466 349492 389818 460694 524238 584727 646932 691041 779636 921388 1048476 1169454 1382082 2338908 2533817 2764164 5067634 7601451 10135268 15202902 30405804