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3407007031 = 14936376287
BaseRepresentation
bin1100101100010010…
…1100110100110111
322210102212220000121
43023010230310313
523434143211111
61322023552411
7150300040051
oct31304546467
98712786017
103407007031
11149919189a
127b0bbb707
13423b0a2bc
142446b28d1
1514e18d871
hexcb12cd37

3407007031 has 8 divisors (see below), whose sum is σ = 3431361600. Its totient is φ = 3382672608.

The previous prime is 3407007013. The next prime is 3407007047. The reversal of 3407007031 is 1307007043.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3407007031 - 27 = 3407006903 is a prime.

It is a super-2 number, since 2×34070070312 = 23215393818566869922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3407006987 and 3407007005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407007011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538770 + ... + 545056.

It is an arithmetic number, because the mean of its divisors is an integer number (428920200).

Almost surely, 23407007031 is an apocalyptic number.

3407007031 is a deficient number, since it is larger than the sum of its proper divisors (24354569).

3407007031 is a wasteful number, since it uses less digits than its factorization.

3407007031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073.

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 3407007031 is about 58369.5728183786. The cubic root of 3407007031 is about 1504.7268711831.

The spelling of 3407007031 in words is "three billion, four hundred seven million, seven thousand, thirty-one".

Divisors: 1 149 3637 6287 541913 936763 22865819 3407007031