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30663984 = 24313157313
BaseRepresentation
bin111010011111…
…0010100110000
32010200220002010
41310332110300
530322221414
63013122520
7521432241
oct164762460
963626063
1030663984
111634433a
12a329440
136478290
144102cc8
152a5a959
hex1d3e530

30663984 has 80 divisors (see below), whose sum is σ = 86126432. Its totient is φ = 9345024.

The previous prime is 30663973. The next prime is 30664001. The reversal of 30663984 is 48936603.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97812 + ... + 98124.

Almost surely, 230663984 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 30663984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43063216).

30663984 is an abundant number, since it is smaller than the sum of its proper divisors (55462448).

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

30663984 is a wasteful number, since it uses less digits than its factorization.

30663984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 30663984 is about 5537.5070203116. The cubic root of 30663984 is about 312.9989350337.

The spelling of 30663984 in words is "thirty million, six hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 157 208 312 313 314 471 624 626 628 939 942 1252 1256 1878 1884 2041 2504 2512 3756 3768 4069 4082 5008 6123 7512 7536 8138 8164 12207 12246 15024 16276 16328 24414 24492 32552 32656 48828 48984 49141 65104 97656 97968 98282 147423 195312 196564 294846 393128 589692 638833 786256 1179384 1277666 1916499 2358768 2555332 3832998 5110664 7665996 10221328 15331992 30663984