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3099984 = 2431729131
BaseRepresentation
bin1011110100110101010000
312211111101020
423310311100
51243144414
6150235440
735230566
oct13646520
95744336
103099984
111828078
121055b80
13847014
145a9a36
154137a9
hex2f4d50

3099984 has 80 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 931840.

The previous prime is 3099977. The next prime is 3099997. The reversal of 3099984 is 4899903.

3099984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23599 + ... + 23729.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 23099984 is an apocalyptic number.

3099984 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 3099984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

3099984 is an abundant number, since it is smaller than the sum of its proper divisors (5738736).

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

3099984 is a wasteful number, since it uses less digits than its factorization.

3099984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 3099984 is about 1760.6771424654. The cubic root of 3099984 is about 145.8097227264.

The spelling of 3099984 in words is "three million, ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 131 136 174 204 232 262 272 348 393 408 464 493 524 696 786 816 986 1048 1392 1479 1572 1972 2096 2227 2958 3144 3799 3944 4454 5916 6288 6681 7598 7888 8908 11397 11832 13362 15196 17816 22794 23664 26724 30392 35632 45588 53448 60784 64583 91176 106896 129166 182352 193749 258332 387498 516664 774996 1033328 1549992 3099984