Search a number
-
+
234735648 = 25371632143
BaseRepresentation
bin11011111110111…
…00100000100000
3121100200210202220
431333130200200
5440043020043
635143111040
75550135330
oct1577344040
9540623686
10234735648
11110558404
1266742480
1339829944
14232650c0
151591b483
hexdfdc820

234735648 has 96 divisors (see below), whose sum is σ = 708857856. Its totient is φ = 66624768.

The previous prime is 234735629. The next prime is 234735649. The reversal of 234735648 is 846537432.

234735648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (234735649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108465 + ... + 110607.

It is an arithmetic number, because the mean of its divisors is an integer number (7383936).

Almost surely, 2234735648 is an apocalyptic number.

234735648 is a gapful number since it is divisible by the number (28) 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 234735648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354428928).

234735648 is an abundant number, since it is smaller than the sum of its proper divisors (474122208).

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

234735648 is a wasteful number, since it uses less digits than its factorization.

234735648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2318 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 234735648 is about 15321.0850790667. The cubic root of 234735648 is about 616.8690998739.

The spelling of 234735648 in words is "two hundred thirty-four million, seven hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 163 168 224 326 336 489 652 672 978 1141 1304 1956 2143 2282 2608 3423 3912 4286 4564 5216 6429 6846 7824 8572 9128 12858 13692 15001 15648 17144 18256 25716 27384 30002 34288 36512 45003 51432 54768 60004 68576 90006 102864 109536 120008 180012 205728 240016 349309 360024 480032 698618 720048 1047927 1397236 1440096 2095854 2445163 2794472 4191708 4890326 5588944 7335489 8383416 9780652 11177888 14670978 16766832 19561304 29341956 33533664 39122608 58683912 78245216 117367824 234735648