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164126304 = 2533189961
BaseRepresentation
bin10011100100001…
…01111001100000
3102102211110222000
421302011321200
5314004020204
624141444000
74032023226
oct1162057140
9372743860
10164126304
1184710581
1246b70600
1328006974
1417b24b16
15e620039
hex9c85e60

164126304 has 48 divisors (see below), whose sum is σ = 478704240. Its totient is φ = 54708480.

The previous prime is 164126297. The next prime is 164126309. The reversal of 164126304 is 403621461.

164126304 is a `hidden beast` number, since 16 + 4 + 12 + 630 + 4 = 666.

164126304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164126309) 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, 94117 + ... + 95844.

It is an arithmetic number, because the mean of its divisors is an integer number (9973005).

Almost surely, 2164126304 is an apocalyptic number.

It is an amenable number.

164126304 is an abundant number, since it is smaller than the sum of its proper divisors (314577936).

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

164126304 is a wasteful number, since it uses less digits than its factorization.

164126304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189980 (or 189966 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164126304 is about 12811.1788684726. The cubic root of 164126304 is about 547.5108498507.

Adding to 164126304 its reverse (403621461), we get a palindrome (567747765).

The spelling of 164126304 in words is "one hundred sixty-four million, one hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 189961 379922 569883 759844 1139766 1519688 1709649 2279532 3039376 3419298 4559064 5128947 6078752 6838596 9118128 10257894 13677192 18236256 20515788 27354384 41031576 54708768 82063152 164126304