Search a number
-
+
164434452 = 223713236547
BaseRepresentation
bin10011100110100…
…01001000010100
3102110102010122220
421303101020110
5314043400302
624152222340
74034445510
oct1163211024
9373363586
10164434452
1184901046
124709a9b0
13280b3cc0
1417ba5140
15e6814bc
hex9cd1214

164434452 has 96 divisors (see below), whose sum is σ = 492828672. Its totient is φ = 41475456.

The previous prime is 164434441. The next prime is 164434483. The reversal of 164434452 is 254434461.

It is a happy number.

164434452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1644344523 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21843 + ... + 28389.

It is an arithmetic number, because the mean of its divisors is an integer number (5133632).

Almost surely, 2164434452 is an apocalyptic number.

164434452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164434452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246414336).

164434452 is an abundant number, since it is smaller than the sum of its proper divisors (328394220).

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

164434452 is a wasteful number, since it uses less digits than its factorization.

164434452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6597 (or 6595 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 164434452 is about 12823.1997566910. The cubic root of 164434452 is about 547.8532871319.

Subtracting 164434452 from its reverse (254434461), we obtain a palindrome (90000009).

The spelling of 164434452 in words is "one hundred sixty-four million, four hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1196 1794 1932 2093 3588 4186 6279 6547 8372 12558 13094 19641 25116 26188 39282 45829 78564 85111 91658 137487 150581 170222 183316 255333 274974 301162 340444 451743 510666 549948 595777 602324 903486 1021332 1054067 1191554 1787331 1806972 1957553 2108134 2383108 3162201 3574662 3915106 4216268 5872659 6324402 7149324 7830212 11745318 12648804 13702871 23490636 27405742 41108613 54811484 82217226 164434452