Search a number
-
+
34172064 = 253339551
BaseRepresentation
bin1000001001011…
…0110010100000
32101022010021000
42002112302200
532222001224
63220232000
7563313003
oct202266240
971263230
1034172064
111831aa83
12b53b600
137105c74
14477753a
1530000c9
hex2096ca0

34172064 has 48 divisors (see below), whose sum is σ = 99671040. Its totient is φ = 11390400.

The previous prime is 34172027. The next prime is 34172069. The reversal of 34172064 is 46027143.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (34172069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18912 + ... + 20639.

It is an arithmetic number, because the mean of its divisors is an integer number (2076480).

Almost surely, 234172064 is an apocalyptic number.

It is an amenable number.

34172064 is an abundant number, since it is smaller than the sum of its proper divisors (65498976).

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

34172064 is a wasteful number, since it uses less digits than its factorization.

34172064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39570 (or 39556 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34172064 is about 5845.6876413301. The cubic root of 34172064 is about 324.5067515846.

The spelling of 34172064 in words is "thirty-four million, one hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 39551 79102 118653 158204 237306 316408 355959 474612 632816 711918 949224 1067877 1265632 1423836 1898448 2135754 2847672 3796896 4271508 5695344 8543016 11390688 17086032 34172064