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164412345 = 35471012309
BaseRepresentation
bin10011100110010…
…11101110111001
3102110101000100010
421303023232321
5314042143340
624151532133
74034324166
oct1163135671
9373330303
10164412345
1184896479
124708a049
13280a6c16
1417b9b06d
15e679b80
hex9ccbbb9

164412345 has 32 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 84934400.

The previous prime is 164412343. The next prime is 164412359. The reversal of 164412345 is 543214461.

It is not a de Polignac number, because 164412345 - 21 = 164412343 is a prime.

It is a super-3 number, since 3×1644123453 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164412341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70051 + ... + 72359.

It is an arithmetic number, because the mean of its divisors is an integer number (8482320).

Almost surely, 2164412345 is an apocalyptic number.

164412345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164412345 is a deficient number, since it is larger than the sum of its proper divisors (107021895).

164412345 is a wasteful number, since it uses less digits than its factorization.

164412345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465.

The product of its digits is 11520, while the sum is 30.

The square root of 164412345 is about 12822.3377353742. The cubic root of 164412345 is about 547.8287344195.

The spelling of 164412345 in words is "one hundred sixty-four million, four hundred twelve thousand, three hundred forty-five".

Divisors: 1 3 5 15 47 101 141 235 303 505 705 1515 2309 4747 6927 11545 14241 23735 34635 71205 108523 233209 325569 542615 699627 1166045 1627845 3498135 10960823 32882469 54804115 164412345