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234434112 = 26311210091
BaseRepresentation
bin11011111100100…
…10111001000000
3121100010111010220
431332102321000
5440003342422
635132423040
75544441243
oct1576227100
9540114126
10234434112
11110371900
1266617a80
1339752613
14231c725a
15158abe5c
hexdf92e40

234434112 has 84 divisors (see below), whose sum is σ = 681855888. Its totient is φ = 71033600.

The previous prime is 234434093. The next prime is 234434113. The reversal of 234434112 is 211434432.

234434112 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (234434113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18187 + ... + 28277.

It is an arithmetic number, because the mean of its divisors is an integer number (8117332).

Almost surely, 2234434112 is an apocalyptic number.

234434112 is a gapful number since it is divisible by the number (22) 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 234434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340927944).

234434112 is an abundant number, since it is smaller than the sum of its proper divisors (447421776).

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

234434112 is a wasteful number, since it uses less digits than its factorization.

234434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10107 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 234434112 is about 15311.2413605168. The cubic root of 234434112 is about 616.6048480844.

Adding to 234434112 its reverse (211434432), we get a palindrome (445868544).

The spelling of 234434112 in words is "two hundred thirty-four million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 10091 11616 20182 23232 30273 40364 60546 80728 111001 121092 161456 222002 242184 322912 333003 444004 484368 645824 666006 888008 968736 1221011 1332012 1776016 1937472 2442022 2664024 3552032 3663033 4884044 5328048 7104064 7326066 9768088 10656096 14652132 19536176 21312192 29304264 39072352 58608528 78144704 117217056 234434112