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3042946368 = 26327111923157
BaseRepresentation
bin1011010101011111…
…1010110101000000
321212001211200200100
42311113322311000
522212443240433
61221540522400
7135256421520
oct26527726500
97761750610
103042946368
111321733710
1270b0b0400
133965701a7
1420c1c5680
1512c228b13
hexb55fad40

3042946368 has 672 divisors, whose sum is σ = 12020336640. Its totient is φ = 711659520.

The previous prime is 3042946367. The next prime is 3042946373. The reversal of 3042946368 is 8636492403.

3042946368 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 9 + 4 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042946367) 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 95 ways as a sum of consecutive naturals, for example, 19381746 + ... + 19381902.

Almost surely, 23042946368 is an apocalyptic number.

3042946368 is a gapful number since it is divisible by the number (38) 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 3042946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010168320).

3042946368 is an abundant number, since it is smaller than the sum of its proper divisors (8977390272).

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

3042946368 is a wasteful number, since it uses less digits than its factorization.

3042946368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3042946368 is about 55162.9075375836. The cubic root of 3042946368 is about 1449.0991420547.

The spelling of 3042946368 in words is "three billion, forty-two million, nine hundred forty-six thousand, three hundred sixty-eight".