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164383744 = 2107171971
BaseRepresentation
bin10011100110001…
…00110000000000
3102110022120002211
421303010300000
5314040234434
624151151504
74034144620
oct1163046000
9373276084
10164383744
1184876a38
1247075594
1328096bb5
1417b90880
15e671464
hex9cc4c00

164383744 has 176 divisors, whose sum is σ = 424465920. Its totient is φ = 61931520.

The previous prime is 164383733. The next prime is 164383771. The reversal of 164383744 is 447383461.

164383744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164383697 and 164383706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315229 + ... + 2315299.

Almost surely, 2164383744 is an apocalyptic number.

164383744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164383744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212232960).

164383744 is an abundant number, since it is smaller than the sum of its proper divisors (260082176).

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

164383744 is a wasteful number, since it uses less digits than its factorization.

164383744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 164383744 is about 12821.2224066194. Note that the first 3 decimals coincide. The cubic root of 164383744 is about 547.7969660056.

The spelling of 164383744 in words is "one hundred sixty-four million, three hundred eighty-three thousand, seven hundred forty-four".