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3407290384 = 24145932
BaseRepresentation
bin1100101100010111…
…0010000000010000
322210110102021201011
43023011302000100
523434231243014
61322034020304
7150302330131
oct31305620020
98713367634
103407290384
111499365773
127b1117694
13423ba9274
14244747c88
1514e1e77c4
hexcb172010

3407290384 has 15 divisors (see below), whose sum is σ = 6602077533. Its totient is φ = 1703528448.

The previous prime is 3407290351. The next prime is 3407290409. The reversal of 3407290384 is 4830927043.

The square root of 3407290384 is 58372.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 285610000 + 3121680384 = 16900^2 + 55872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 226192 + ... + 240784.

Almost surely, 23407290384 is an apocalyptic number.

3407290384 is the 58372-nd square number.

It is an amenable number.

3407290384 is a deficient number, since it is larger than the sum of its proper divisors (3194787149).

3407290384 is an frugal number, since it uses more digits than its factorization.

3407290384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29194 (or 14595 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The cubic root of 3407290384 is about 1504.7685849267.

The spelling of 3407290384 in words is "three billion, four hundred seven million, two hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 14593 29186 58372 116744 233488 212955649 425911298 851822596 1703645192 3407290384