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164645340 = 2235173141127
BaseRepresentation
bin10011101000001…
…00100111011100
3102110210211221120
421310010213130
5314122122330
624200530540
74036314366
oct1164044734
9373724846
10164645340
1184a35532
1247180a50
1328158ca2
1417c1bd36
15e6c3c10
hex9d049dc

164645340 has 192 divisors, whose sum is σ = 520224768. Its totient is φ = 38707200.

The previous prime is 164645329. The next prime is 164645347. The reversal of 164645340 is 43546461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164645347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1296357 + ... + 1296483.

It is an arithmetic number, because the mean of its divisors is an integer number (2709504).

Almost surely, 2164645340 is an apocalyptic number.

164645340 is a gapful number since it is divisible by the number (10) 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 164645340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260112384).

164645340 is an abundant number, since it is smaller than the sum of its proper divisors (355579428).

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

164645340 is a wasteful number, since it uses less digits than its factorization.

164645340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 164645340 is about 12831.4200305344. The cubic root of 164645340 is about 548.0873952645.

The spelling of 164645340 in words is "one hundred sixty-four million, six hundred forty-five thousand, three hundred forty".