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234140432 = 2429539521
BaseRepresentation
bin11011111010010…
…11001100010000
3121022120120021212
431331023030100
5434414443212
635122235252
75542106111
oct1575131420
9538516255
10234140432
11110191199
12664b5b28
133967ba46
142314c208
151584ee22
hexdf4b310

234140432 has 40 divisors (see below), whose sum is σ = 478194840. Its totient is φ = 110888960.

The previous prime is 234140369. The next prime is 234140453. The reversal of 234140432 is 234041432.

234140432 is digitally balanced in base 2, 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 4 ways, for example, as 51782416 + 182358016 = 7196^2 + 13504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 234140398 and 234140407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19832 + ... + 29352.

It is an arithmetic number, because the mean of its divisors is an integer number (11954871).

Almost surely, 2234140432 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 234140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239097420).

234140432 is an abundant number, since it is smaller than the sum of its proper divisors (244054408).

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

234140432 is a wasteful number, since it uses less digits than its factorization.

234140432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611 (or 9605 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 234140432 is about 15301.6480158184. The cubic root of 234140432 is about 616.3472630159.

Adding to 234140432 its reverse (234041432), we get a palindrome (468181864).

The spelling of 234140432 in words is "two hundred thirty-four million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3074 6148 9521 12296 19042 24592 38084 76168 152336 276109 504613 552218 1009226 1104436 2018452 2208872 4036904 4417744 8073808 14633777 29267554 58535108 117070216 234140432