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34315164 = 2234138147
BaseRepresentation
bin1000001011100…
…1101110011100
32101120101120000
42002321232130
532241041124
63223254300
7564450132
oct202715634
971511500
1034315164
1118408544
12b5aa390
137156140
1447b3752
15302c6c9
hex20b9b9c

34315164 has 60 divisors (see below), whose sum is σ = 96618984. Its totient is φ = 10557216.

The previous prime is 34315157. The next prime is 34315187. The reversal of 34315164 is 46151343.

34315164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139 + ... + 8285.

Almost surely, 234315164 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 34315164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48309492).

34315164 is an abundant number, since it is smaller than the sum of its proper divisors (62303820).

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

34315164 is a wasteful number, since it uses less digits than its factorization.

34315164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176 (or 8165 counting only the distinct ones).

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

The square root of 34315164 is about 5857.9146460153. The cubic root of 34315164 is about 324.9590922871.

The spelling of 34315164 in words is "thirty-four million, three hundred fifteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 8147 16294 24441 32588 48882 73323 97764 105911 146646 211822 219969 293292 317733 423644 439938 635466 659907 879876 953199 1270932 1319814 1906398 2639628 2859597 3812796 5719194 8578791 11438388 17157582 34315164