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3344048640 = 29325197639
BaseRepresentation
bin1100011101010010…
…0010001000000000
322122001102021100100
43013110202020000
523322034024030
61311454322400
7145603641642
oct30724421000
98561367310
103344048640
1114666a0269
12793ab9400
13413a6590a
1423a1a4892
151488a4360
hexc7522200

3344048640 has 240 divisors, whose sum is σ = 12192523200. Its totient is φ = 844701696.

The previous prime is 3344048623. The next prime is 3344048651. The reversal of 3344048640 is 468404433.

3344048640 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 0 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33440486402 = 22365322613371699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3344048595 and 3344048604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433941 + ... + 441579.

It is an arithmetic number, because the mean of its divisors is an integer number (50802180).

Almost surely, 23344048640 is an apocalyptic number.

3344048640 is a gapful number since it is divisible by the number (30) 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 3344048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096261600).

3344048640 is an abundant number, since it is smaller than the sum of its proper divisors (8848474560).

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

3344048640 is a wasteful number, since it uses less digits than its factorization.

3344048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7687 (or 7668 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3344048640 is about 57827.7497400686. The cubic root of 3344048640 is about 1495.4005242974.

The spelling of 3344048640 in words is "three billion, three hundred forty-four million, forty-eight thousand, six hundred forty".