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3362409904 = 24730021517
BaseRepresentation
bin1100100001101010…
…0100110110110000
322200022222010021011
43020122210312300
523341234104104
61313352040304
7146216004220
oct31032446660
98608863234
103362409904
111475aa1367
1279a093094
134177c4179
1423c7c4080
1514a2ce904
hexc86a4db0

3362409904 has 20 divisors (see below), whose sum is σ = 7445336464. Its totient is φ = 1441032768.

The previous prime is 3362409871. The next prime is 3362409913. The reversal of 3362409904 is 4099042633.

It is a super-3 number, since 3×33624099043 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15010647 + ... + 15010870.

Almost surely, 23362409904 is an apocalyptic number.

It is an amenable number.

3362409904 is an abundant number, since it is smaller than the sum of its proper divisors (4082926560).

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

3362409904 is a wasteful number, since it uses less digits than its factorization.

3362409904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30021532 (or 30021526 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 3362409904 is about 57986.2906556369. The cubic root of 3362409904 is about 1498.1324764614.

The spelling of 3362409904 in words is "three billion, three hundred sixty-two million, four hundred nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 30021517 60043034 120086068 210150619 240172136 420301238 480344272 840602476 1681204952 3362409904