Base | Representation |
---|---|
bin | 11011111110110… |
… | …00000001010000 |
3 | 121100122212120000 |
4 | 31333120001100 |
5 | 440041423024 |
6 | 35142450000 |
7 | 5550030615 |
oct | 1577300120 |
9 | 540585500 |
10 | 234717264 |
11 | 110545611 |
12 | 66733900 |
13 | 39821472 |
14 | 2325c50c |
15 | 15915cc9 |
hex | dfd8050 |
234717264 has 100 divisors (see below), whose sum is σ = 690709140. Its totient is φ = 76930560.
The previous prime is 234717239. The next prime is 234717293. The reversal of 234717264 is 462717432.
234717264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 230796864 = 1980^2 + 15192^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
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, 77572 + ... + 80540.
Almost surely, 2234717264 is an apocalyptic number.
234717264 is a gapful number since it is divisible by the number (24) 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 234717264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345354570).
234717264 is an abundant number, since it is smaller than the sum of its proper divisors (455991876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234717264 is a wasteful number, since it uses less digits than its factorization.
234717264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3050 (or 3035 counting only the distinct ones).
The product of its digits is 56448, while the sum is 36.
The square root of 234717264 is about 15320.4851098129. The cubic root of 234717264 is about 616.8529954919.
The spelling of 234717264 in words is "two hundred thirty-four million, seven hundred seventeen thousand, two hundred sixty-four".
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