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3380167 = 72101683
BaseRepresentation
bin1100111001001111000111
320100201201101
430321033013
51331131132
6200240531
740505500
oct14711707
96321641
103380167
1119a962a
121170147
139146cb
1463dba7
1546b7e7
hex3393c7

3380167 has 12 divisors (see below), whose sum is σ = 3976776. Its totient is φ = 2864400.

The previous prime is 3380141. The next prime is 3380189. The reversal of 3380167 is 7610833.

It is a de Polignac number, because none of the positive numbers 2k-3380167 is a prime.

It is a super-2 number, since 2×33801672 = 22851057895778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4608 + ... + 5290.

It is an arithmetic number, because the mean of its divisors is an integer number (331398).

Almost surely, 23380167 is an apocalyptic number.

3380167 is a deficient number, since it is larger than the sum of its proper divisors (596609).

3380167 is a wasteful number, since it uses less digits than its factorization.

3380167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 3380167 is about 1838.5230485365. The cubic root of 3380167 is about 150.0765091172.

It can be divided in two parts, 33 and 80167, that added together give a triangular number (80200 = T400).

The spelling of 3380167 in words is "three million, three hundred eighty thousand, one hundred sixty-seven".

Divisors: 1 7 49 101 683 707 4781 4949 33467 68983 482881 3380167