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164315430 = 23252716737
BaseRepresentation
bin10011100101101…
…00000100100110
3102110012002101200
421302310010212
5314031043210
624145503330
74033441506
oct1162640446
9373162350
10164315430
118482a684
1247041b46
1328071a86
1417b73a06
15e65b0c0
hex9cb4126

164315430 has 48 divisors (see below), whose sum is σ = 428860224. Its totient is φ = 43649280.

The previous prime is 164315383. The next prime is 164315441. The reversal of 164315430 is 34513461.

164315430 is a `hidden beast` number, since 1 + 643 + 15 + 4 + 3 + 0 = 666.

It is a super-3 number, since 3×1643154303 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164315394 and 164315403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21022 + ... + 27758.

It is an arithmetic number, because the mean of its divisors is an integer number (8934588).

Almost surely, 2164315430 is an apocalyptic number.

164315430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164315430 is an abundant number, since it is smaller than the sum of its proper divisors (264544794).

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

164315430 is a wasteful number, since it uses less digits than its factorization.

164315430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164315430 is about 12818.5580312296. The cubic root of 164315430 is about 547.7210716661.

Adding to 164315430 its reverse (34513461), we get a palindrome (198828891).

The spelling of 164315430 in words is "one hundred sixty-four million, three hundred fifteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 271 542 813 1355 1626 2439 2710 4065 4878 6737 8130 12195 13474 20211 24390 33685 40422 60633 67370 101055 121266 202110 303165 606330 1825727 3651454 5477181 9128635 10954362 16431543 18257270 27385905 32863086 54771810 82157715 164315430