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164274444 = 223229157351
BaseRepresentation
bin10011100101010…
…10000100001100
3102110010000011200
421302222010030
5314023240234
624144545500
74033211145
oct1162520414
9373100150
10164274444
1184801904
1247022290
1328059219
1417b62acc
15e64dd99
hex9caa10c

164274444 has 36 divisors (see below), whose sum is σ = 429570960. Its totient is φ = 52869600.

The previous prime is 164274433. The next prime is 164274457. The reversal of 164274444 is 444472461.

164274444 is a `hidden beast` number, since 1 + 642 + 7 + 4 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 164274399 and 164274408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77632 + ... + 79719.

Almost surely, 2164274444 is an apocalyptic number.

It is an amenable number.

164274444 is an abundant number, since it is smaller than the sum of its proper divisors (265296516).

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

164274444 is a wasteful number, since it uses less digits than its factorization.

164274444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157390 (or 157385 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 164274444 is about 12816.9592337652. The cubic root of 164274444 is about 547.6755276320.

The spelling of 164274444 in words is "one hundred sixty-four million, two hundred seventy-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 157351 314702 472053 629404 944106 1416159 1888212 2832318 4563179 5664636 9126358 13689537 18252716 27379074 41068611 54758148 82137222 164274444