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3013192644 = 2237118114021
BaseRepresentation
bin1011001110011001…
…1010101111000100
321202222212001020120
42303212122233010
522132334131034
61214555101540
7134445500130
oct26346325704
97688761216
103013192644
111306961260
127011418b0
13390353337
1420827c3c0
151297ecc49
hexb399abc4

3013192644 has 96 divisors (see below), whose sum is σ = 8778642432. Its totient is φ = 781488000.

The previous prime is 3013192639. The next prime is 3013192649. The reversal of 3013192644 is 4462913103.

It is an interprime number because it is at equal distance from previous prime (3013192639) and next prime (3013192649).

It is a Smith number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (3013192649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747354 + ... + 751374.

It is an arithmetic number, because the mean of its divisors is an integer number (91444192).

Almost surely, 23013192644 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 3013192644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389321216).

3013192644 is an abundant number, since it is smaller than the sum of its proper divisors (5765449788).

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

3013192644 is a wasteful number, since it uses less digits than its factorization.

3013192644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3013192644 is about 54892.5554515364. Note that the first 3 decimals coincide. The cubic root of 3013192644 is about 1444.3605994453.

The spelling of 3013192644 in words is "three billion, thirteen million, one hundred ninety-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 811 924 1622 2433 3244 4021 4866 5677 8042 8921 9732 11354 12063 16084 17031 17842 22708 24126 26763 28147 34062 35684 44231 48252 53526 56294 62447 68124 84441 88462 107052 112588 124894 132693 168882 176924 187341 249788 265386 309617 337764 374682 530772 619234 749364 928851 1238468 1857702 3261031 3715404 6522062 9783093 13044124 19566186 22827217 35871341 39132372 45654434 68481651 71742682 91308868 107614023 136963302 143485364 215228046 251099387 273926604 430456092 502198774 753298161 1004397548 1506596322 3013192644