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30442464 = 25321347173
BaseRepresentation
bin111010000100…
…0001111100000
32010021122012200
41310020033200
530243124324
63004253200
7516520353
oct164101740
963248180
1030442464
1116202968
12a241200
1363cb4c0
14408629a
152a14ec9
hex1d083e0

30442464 has 144 divisors (see below), whose sum is σ = 95764032. Its totient is φ = 9114624.

The previous prime is 30442441. The next prime is 30442481. The reversal of 30442464 is 46424403.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×304424642 = 1853487228782592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175882 + ... + 176054.

It is an arithmetic number, because the mean of its divisors is an integer number (665028).

Almost surely, 230442464 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 30442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47882016).

30442464 is an abundant number, since it is smaller than the sum of its proper divisors (65321568).

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

30442464 is a wasteful number, since it uses less digits than its factorization.

30442464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 30442464 is about 5517.4689849604. The cubic root of 30442464 is about 312.2433998113.

Adding to 30442464 its reverse (46424403), we get a palindrome (76866867).

The spelling of 30442464 in words is "thirty million, four hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 47 48 52 72 78 94 96 104 117 141 144 156 173 188 208 234 282 288 312 346 376 416 423 468 519 564 611 624 692 752 846 936 1038 1128 1222 1248 1384 1504 1557 1692 1833 1872 2076 2249 2256 2444 2768 3114 3384 3666 3744 4152 4498 4512 4888 5499 5536 6228 6747 6768 7332 8131 8304 8996 9776 10998 12456 13494 13536 14664 16262 16608 17992 19552 20241 21996 24393 24912 26988 29328 32524 35984 40482 43992 48786 49824 53976 58656 65048 71968 73179 80964 87984 97572 105703 107952 130096 146358 161928 175968 195144 211406 215904 260192 292716 317109 323856 390288 422812 585432 634218 647712 780576 845624 951327 1170864 1268436 1691248 1902654 2341728 2536872 3382496 3805308 5073744 7610616 10147488 15221232 30442464