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164440456 = 23171209121
BaseRepresentation
bin10011100110100…
…10100110001000
3102110102102220021
421303102212020
5314044043311
624152310224
74034502145
oct1163224610
9373372807
10164440456
1184905604
12470a2374
13280b695b
1417ba73cc
15e683171
hex9cd2988

164440456 has 16 divisors (see below), whose sum is σ = 326462940. Its totient is φ = 77383680.

The previous prime is 164440453. The next prime is 164440483. The reversal of 164440456 is 654044461.

164440456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 157502500 + 6937956 = 12550^2 + 2634^2 .

It is a super-3 number, since 3×1644404563 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (164440453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 604425 + ... + 604696.

Almost surely, 2164440456 is an apocalyptic number.

It is an amenable number.

164440456 is a deficient number, since it is larger than the sum of its proper divisors (162022484).

164440456 is a wasteful number, since it uses less digits than its factorization.

164440456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209144 (or 1209140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 164440456 is about 12823.4338614897. The cubic root of 164440456 is about 547.8599549785.

The spelling of 164440456 in words is "one hundred sixty-four million, four hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 17 34 68 136 1209121 2418242 4836484 9672968 20555057 41110114 82220228 164440456