Search a number
-
+
234272432 = 24196171249
BaseRepresentation
bin11011111011010…
…11011010110000
3121022211021100202
431331223122300
5434433204212
635125134332
75543166002
oct1575533260
9538737322
10234272432
11110271389
126655a3a8
13396c6b54
1423184372
15158790c2
hexdf6b6b0

234272432 has 40 divisors (see below), whose sum is σ = 478950000. Its totient is φ = 110702592.

The previous prime is 234272431. The next prime is 234272449.

234272432 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 234272395 and 234272404.

It is not an unprimeable number, because it can be changed into a prime (234272431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186944 + ... + 188192.

It is an arithmetic number, because the mean of its divisors is an integer number (11973750).

Almost surely, 2234272432 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 234272432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239475000).

234272432 is an abundant number, since it is smaller than the sum of its proper divisors (244677568).

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

234272432 is a wasteful number, since it uses less digits than its factorization.

234272432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1887 counting only the distinct ones).

The product of its digits is 16128, while the sum is 29.

The square root of 234272432 is about 15305.9606689682. The cubic root of 234272432 is about 616.4630661031.

The spelling of 234272432 in words is "two hundred thirty-four million, two hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 617 1234 1249 2468 2498 4936 4996 9872 9992 11723 19984 23446 23731 46892 47462 93784 94924 187568 189848 379696 770633 1541266 3082532 6165064 12330128 14642027 29284054 58568108 117136216 234272432