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164364444 = 22331521893
BaseRepresentation
bin10011100110000…
…00000010011100
3102110021120122000
421303000002130
5314034130234
624150522300
74034034426
oct1163000234
9373246560
10164364444
1184863492
1247066390
132808b18a
1417b87816
15e66a899
hex9cc009c

164364444 has 24 divisors (see below), whose sum is σ = 426130320. Its totient is φ = 54788112.

The previous prime is 164364443. The next prime is 164364451. The reversal of 164364444 is 444463461.

164364444 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 644 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 164364399 and 164364408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164364443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760839 + ... + 761054.

It is an arithmetic number, because the mean of its divisors is an integer number (17755430).

Almost surely, 2164364444 is an apocalyptic number.

It is an amenable number.

164364444 is an abundant number, since it is smaller than the sum of its proper divisors (261765876).

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

164364444 is a wasteful number, since it uses less digits than its factorization.

164364444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521906 (or 1521898 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 164364444 is about 12820.4697261840. The cubic root of 164364444 is about 547.7755265474.

The spelling of 164364444 in words is "one hundred sixty-four million, three hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1521893 3043786 4565679 6087572 9131358 13697037 18262716 27394074 41091111 54788148 82182222 164364444