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2983967 = 73113751
BaseRepresentation
bin1011011000100000011111
312121121020022
423120200133
51230441332
6143542355
734235420
oct13304037
95547208
102983967
111758998
12bba9bb
1380627c
14579647
153de212
hex2d881f

2983967 has 8 divisors (see below), whose sum is σ = 3520512. Its totient is φ = 2475000.

The previous prime is 2983961. The next prime is 2983987. The reversal of 2983967 is 7693892.

2983967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 2983967 - 214 = 2967583 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2983961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6659 + ... + 7092.

It is an arithmetic number, because the mean of its divisors is an integer number (440064).

22983967 is an apocalyptic number.

2983967 is a deficient number, since it is larger than the sum of its proper divisors (536545).

2983967 is a wasteful number, since it uses less digits than its factorization.

2983967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13789.

The product of its digits is 163296, while the sum is 44.

The square root of 2983967 is about 1727.4162787238. The cubic root of 2983967 is about 143.9675692142.

The spelling of 2983967 in words is "two million, nine hundred eighty-three thousand, nine hundred sixty-seven".

Divisors: 1 7 31 217 13751 96257 426281 2983967