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164524340 = 22540920113
BaseRepresentation
bin10011100111001…
…11000100110100
3102110120200222002
421303213010310
5314104234330
624154154432
74035301541
oct1163470464
9373520862
10164524340
1184962632
1247122a18
1328115ba6
1417bc9bc8
15e69ce45
hex9ce7134

164524340 has 24 divisors (see below), whose sum is σ = 346363080. Its totient is φ = 65645568.

The previous prime is 164524333. The next prime is 164524357. The reversal of 164524340 is 43425461.

164524340 is digitally balanced in base 2, 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 4 ways, for example, as 14167696 + 150356644 = 3764^2 + 12262^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1877 + ... + 18236.

It is an arithmetic number, because the mean of its divisors is an integer number (14431795).

Almost surely, 2164524340 is an apocalyptic number.

164524340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164524340 is an abundant number, since it is smaller than the sum of its proper divisors (181838740).

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

164524340 is a wasteful number, since it uses less digits than its factorization.

164524340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20531 (or 20529 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 164524340 is about 12826.7041752743. The cubic root of 164524340 is about 547.9530968435.

The spelling of 164524340 in words is "one hundred sixty-four million, five hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 4090 8180 20113 40226 80452 100565 201130 402260 8226217 16452434 32904868 41131085 82262170 164524340