Search a number
-
+
164354041 = 43131163179
BaseRepresentation
bin10011100101111…
…01011111111001
3102110021001100201
421302331133321
5314033312131
624150402201
74033662205
oct1162753771
9373231321
10164354041
1184856695
1247060361
1328086517
1417b83b05
15e667761
hex9cbd7f9

164354041 has 16 divisors (see below), whose sum is σ = 171452160. Its totient is φ = 157444560.

The previous prime is 164353957. The next prime is 164354059. The reversal of 164354041 is 140453461.

It is a cyclic number.

It is not a de Polignac number, because 164354041 - 27 = 164353913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164354081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918090 + ... + 918268.

It is an arithmetic number, because the mean of its divisors is an integer number (10715760).

Almost surely, 2164354041 is an apocalyptic number.

It is an amenable number.

164354041 is a deficient number, since it is larger than the sum of its proper divisors (7098119).

164354041 is a wasteful number, since it uses less digits than its factorization.

164354041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 164354041 is about 12820.0640014003. The cubic root of 164354041 is about 547.7639696501.

The spelling of 164354041 in words is "one hundred sixty-four million, three hundred fifty-four thousand, forty-one".

Divisors: 1 43 131 163 179 5633 7009 7697 21353 23449 29177 918179 1008307 1254611 3822187 164354041