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3340400328 = 233246394449
BaseRepresentation
bin1100011100011010…
…0111011011001000
322121210112220210200
43013012213123020
523320120302303
61311244212200
7145530635316
oct30706473310
98553486720
103340400328
111464629231
1279283a060
13413089155
142398d50b6
151483d33a3
hexc71a76c8

3340400328 has 24 divisors (see below), whose sum is σ = 9046917750. Its totient is φ = 1113466752.

The previous prime is 3340400303. The next prime is 3340400333. The reversal of 3340400328 is 8230040433.

3340400328 is a `hidden beast` number, since 334 + 0 + 4 + 0 + 0 + 328 = 666.

3340400328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1862612964 + 1477787364 = 43158^2 + 38442^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33404003282 = 22316548702605015168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23197153 + ... + 23197296.

Almost surely, 23340400328 is an apocalyptic number.

It is an amenable number.

3340400328 is an abundant number, since it is smaller than the sum of its proper divisors (5706517422).

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

3340400328 is a wasteful number, since it uses less digits than its factorization.

3340400328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46394461 (or 46394454 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3340400328 is about 57796.1964838518. The cubic root of 3340400328 is about 1494.8565058041.

The spelling of 3340400328 in words is "three billion, three hundred forty million, four hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 46394449 92788898 139183347 185577796 278366694 371155592 417550041 556733388 835100082 1113466776 1670200164 3340400328