Search a number
-
+
164434104 = 2333809941
BaseRepresentation
bin10011100110100…
…01000010111000
3102110102010012000
421303101002320
5314043342404
624152221000
74034444502
oct1163210270
9373363160
10164434104
118490085a
124709a760
13280b3ab3
1417ba4d72
15e681339
hex9cd10b8

164434104 has 64 divisors (see below), whose sum is σ = 457812000. Its totient is φ = 54685440.

The previous prime is 164434099. The next prime is 164434133. The reversal of 164434104 is 401434461.

164434104 is a `hidden beast` number, since 1 + 644 + 3 + 4 + 10 + 4 = 666.

It is a super-3 number, since 3×1644341043 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174274 + ... + 175214.

Almost surely, 2164434104 is an apocalyptic number.

It is an amenable number.

164434104 is an abundant number, since it is smaller than the sum of its proper divisors (293377896).

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

164434104 is a wasteful number, since it uses less digits than its factorization.

164434104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 164434104 is about 12823.1861875277. The cubic root of 164434104 is about 547.8529006495.

Adding to 164434104 its reverse (401434461), we get a palindrome (565868565).

The spelling of 164434104 in words is "one hundred sixty-four million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 809 941 1618 1882 2427 2823 3236 3764 4854 5646 6472 7281 7528 8469 9708 11292 14562 16938 19416 21843 22584 25407 29124 33876 43686 50814 58248 67752 87372 101628 174744 203256 761269 1522538 2283807 3045076 4567614 6090152 6851421 9135228 13702842 18270456 20554263 27405684 41108526 54811368 82217052 164434104