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164354136 = 233232910267
BaseRepresentation
bin10011100101111…
…01100001011000
3102110021001111020
421302331201120
5314033313021
624150402440
74033662402
oct1162754130
9373231436
10164354136
1184856771
1247060420
132808658b
1417b83b72
15e6677c6
hex9cbd858

164354136 has 64 divisors (see below), whose sum is σ = 443577600. Its totient is φ = 50590848.

The previous prime is 164354131. The next prime is 164354143. The reversal of 164354136 is 631453461.

164354136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164354097 and 164354106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164354131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10875 + ... + 21141.

It is an arithmetic number, because the mean of its divisors is an integer number (6930900).

Almost surely, 2164354136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164354136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221788800).

164354136 is an abundant number, since it is smaller than the sum of its proper divisors (279223464).

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

164354136 is a wasteful number, since it uses less digits than its factorization.

164354136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328 (or 10324 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 164354136 is about 12820.0677065295. The cubic root of 164354136 is about 547.7640751896.

The spelling of 164354136 in words is "one hundred sixty-four million, three hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 5336 8004 10267 16008 20534 30801 41068 61602 82136 123204 236141 246408 297743 472282 595486 708423 893229 944564 1190972 1416846 1786458 1889128 2381944 2833692 3572916 5667384 6848089 7145832 13696178 20544267 27392356 41088534 54784712 82177068 164354136