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164440617 = 31137134677
BaseRepresentation
bin10011100110100…
…10101000101001
3102110102110010020
421303102220221
5314044044432
624152311053
74034502465
oct1163225051
9373373106
10164440617
1184905740
12470a2489
13280b6a53
1417ba74a5
15e68322c
hex9cd2a29

164440617 has 16 divisors (see below), whose sum is σ = 245652672. Its totient is φ = 96966720.

The previous prime is 164440613. The next prime is 164440621. The reversal of 164440617 is 716044461.

It is an interprime number because it is at equal distance from previous prime (164440613) and next prime (164440621).

It is not a de Polignac number, because 164440617 - 22 = 164440613 is a prime.

It is a super-3 number, since 3×1644406173 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (164440613) 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 15 ways as a sum of consecutive naturals, for example, 66118 + ... + 68559.

It is an arithmetic number, because the mean of its divisors is an integer number (15353292).

Almost surely, 2164440617 is an apocalyptic number.

It is an amenable number.

164440617 is a deficient number, since it is larger than the sum of its proper divisors (81212055).

164440617 is a wasteful number, since it uses less digits than its factorization.

164440617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134728.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 164440617 is about 12823.4401390578. The cubic root of 164440617 is about 547.8601337776.

The spelling of 164440617 in words is "one hundred sixty-four million, four hundred forty thousand, six hundred seventeen".

Divisors: 1 3 11 33 37 111 407 1221 134677 404031 1481447 4444341 4983049 14949147 54813539 164440617