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30884784 = 2437175407
BaseRepresentation
bin111010111010…
…0001110110000
32011010002221220
41311310032300
530401303114
63021545040
7523342050
oct165641660
964102856
1030884784
1116485217
12a415180
136524928
14415d560
152aa10a9
hex1d743b0

30884784 has 80 divisors (see below), whose sum is σ = 96565248. Its totient is φ = 8303616.

The previous prime is 30884761. The next prime is 30884807. The reversal of 30884784 is 48748803.

It is an interprime number because it is at equal distance from previous prime (30884761) and next prime (30884807).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3009 + ... + 8415.

Almost surely, 230884784 is an apocalyptic number.

30884784 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 30884784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48282624).

30884784 is an abundant number, since it is smaller than the sum of its proper divisors (65680464).

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

30884784 is a wasteful number, since it uses less digits than its factorization.

30884784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 30884784 is about 5557.4080289286. The cubic root of 30884784 is about 313.7484021865.

The spelling of 30884784 in words is "thirty million, eight hundred eighty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5407 5712 10814 16221 21628 32442 37849 43256 64884 75698 86512 91919 113547 129768 151396 183838 227094 259536 275757 302792 367676 454188 551514 605584 643433 735352 908376 1103028 1286866 1470704 1816752 1930299 2206056 2573732 3860598 4412112 5147464 7721196 10294928 15442392 30884784