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30421824 = 26323832
BaseRepresentation
bin111010000001…
…1001101000000
32010020120220020
41310003031000
530241444244
63004013440
7516403236
oct164031500
963216806
1030421824
1116199404
12a231280
1363c1ca4
14407c956
152a0dd19
hex1d03340

30421824 has 84 divisors (see below), whose sum is σ = 85014816. Its totient is φ = 9582848.

The previous prime is 30421817. The next prime is 30421849. The reversal of 30421824 is 42812403.

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 = 30421794 and 30421803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366487 + ... + 366569.

Almost surely, 230421824 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 30421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42507408).

30421824 is an abundant number, since it is smaller than the sum of its proper divisors (54592992).

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

30421824 is an equidigital number, since it uses as much as digits as its factorization.

30421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 30421824 is about 5515.5982449776. The cubic root of 30421824 is about 312.1728168166.

The spelling of 30421824 in words is "thirty million, four hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 83 92 96 138 166 184 192 249 276 332 368 498 552 664 736 996 1104 1328 1472 1909 1992 2208 2656 3818 3984 4416 5312 5727 6889 7636 7968 11454 13778 15272 15936 20667 22908 27556 30544 41334 45816 55112 61088 82668 91632 110224 122176 158447 165336 183264 220448 316894 330672 366528 440896 475341 633788 661344 950682 1267576 1322688 1901364 2535152 3802728 5070304 7605456 10140608 15210912 30421824