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3340446640 = 245131931657
BaseRepresentation
bin1100011100011011…
…0010101110110000
322121210122021022221
43013012302232300
523320123243030
61311245210424
7145531220326
oct30706625660
98553567287
103340446640
111464660003
12792860a14
134130a425b
14239907d16
151483e1e7a
hexc71b2bb0

3340446640 has 40 divisors (see below), whose sum is σ = 7772672160. Its totient is φ = 1335123456.

The previous prime is 3340446631. The next prime is 3340446643. The reversal of 3340446640 is 466440433.

3340446640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33404466402 = 22317167509374579200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3340446596 and 3340446605.

It is not an unprimeable number, because it can be changed into a prime (3340446643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89692 + ... + 121348.

It is an arithmetic number, because the mean of its divisors is an integer number (194316804).

Almost surely, 23340446640 is an apocalyptic number.

It is an amenable number.

3340446640 is an abundant number, since it is smaller than the sum of its proper divisors (4432225520).

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

3340446640 is a wasteful number, since it uses less digits than its factorization.

3340446640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32989 (or 32983 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The square root of 3340446640 is about 57796.5971316651. The cubic root of 3340446640 is about 1494.8634141052.

The spelling of 3340446640 in words is "three billion, three hundred forty million, four hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1319 2638 5276 6595 10552 13190 21104 26380 31657 52760 63314 105520 126628 158285 253256 316570 506512 633140 1266280 2532560 41755583 83511166 167022332 208777915 334044664 417555830 668089328 835111660 1670223320 3340446640