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134164324 = 227291271301
BaseRepresentation
bin1111111111100…
…10111101100100
3100100110020212001
413333302331210
5233321224244
621151335044
73216243430
oct777627544
9310406761
10134164324
1169806708
1238b21484
1321a46098
1413b659c0
15bba25d4
hex7ff2f64

134164324 has 48 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 55036800.

The previous prime is 134164319. The next prime is 134164333. The reversal of 134164324 is 423461431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 134164292 and 134164301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102474 + ... + 103774.

It is an arithmetic number, because the mean of its divisors is an integer number (5832960).

Almost surely, 2134164324 is an apocalyptic number.

134164324 is a gapful number since it is divisible by the number (14) 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 134164324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

134164324 is an abundant number, since it is smaller than the sum of its proper divisors (145817756).

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

134164324 is a wasteful number, since it uses less digits than its factorization.

134164324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1466 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 134164324 is about 11582.9324439021. The cubic root of 134164324 is about 511.9320842939.

The spelling of 134164324 in words is "one hundred thirty-four million, one hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 58 116 127 203 254 406 508 812 889 1301 1778 2602 3556 3683 5204 7366 9107 14732 18214 25781 36428 37729 51562 75458 103124 150916 165227 264103 330454 528206 660908 1056412 1156589 2313178 4626356 4791583 9583166 19166332 33541081 67082162 134164324