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412164 = 22321072
BaseRepresentation
bin1100100101000000100
3202221101100
41210220010
5101142124
612500100
73334434
oct1445004
9687340
10412164
11261735
1217a630
131157ac
14aa2c4
15821c9
hex64a04

412164 has 27 divisors (see below), whose sum is σ = 1051687. Its totient is φ = 136104.

The previous prime is 412157. The next prime is 412171. The reversal of 412164 is 461214.

The square root of 412164 is 642.

It is a perfect power (a square), and thus also a powerful number.

412164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (412157) and next prime (412171).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is an unprimeable number.

412164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3799 + ... + 3905.

412164 is a Friedman number, since it can be written as 642^(4-1-1), using all its digits and the basic arithmetic operations.

2412164 is an apocalyptic number.

412164 is the 642-nd square number.

It is an amenable number.

412164 is an abundant number, since it is smaller than the sum of its proper divisors (639523).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412164 is a wasteful number, since it uses less digits than its factorization.

412164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The cubic root of 412164 is about 74.4200604942.

Adding to 412164 its reverse (461214), we get a palindrome (873378).

It can be divided in two parts, 412 and 164, that added together give a square (576 = 242).

The spelling of 412164 in words is "four hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 11449 22898 34347 45796 68694 103041 137388 206082 412164