[go: up one dir, main page]

Search a number
-
+
34712060 = 22523591279
BaseRepresentation
bin1000010001101…
…0100111111100
32102022112222212
42010122213330
532341241220
63235555552
7601022225
oct204324774
972275885
1034712060
1118659759
12b75bbb8
1372649a6
14487824c
1530aa0c5
hex211a9fc

34712060 has 48 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 13045824.

The previous prime is 34712059. The next prime is 34712063. The reversal of 34712060 is 6021743.

34712060 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 (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34712063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26501 + ... + 27779.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 234712060 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 34712060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

34712060 is an abundant number, since it is smaller than the sum of its proper divisors (42702340).

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

34712060 is a wasteful number, since it uses less digits than its factorization.

34712060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 34712060 is about 5891.6941536370. The cubic root of 34712060 is about 326.2071399880.

The spelling of 34712060 in words is "thirty-four million, seven hundred twelve thousand, sixty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1279 1357 2558 2714 5116 5428 6395 6785 12790 13570 25580 27140 29417 58834 75461 117668 147085 150922 294170 301844 377305 588340 754610 1509220 1735603 3471206 6942412 8678015 17356030 34712060