Search a number
-
+
323496432 = 243272192127
BaseRepresentation
bin10011010010000…
…010100111110000
3211112201022200100
4103102002213300
51130303341212
652033352400
711005450200
oct2322024760
9745638610
10323496432
11156672726
1290408700
135203680c
1430d6c400
151d600bdc
hex134829f0

323496432 has 270 divisors, whose sum is σ = 1120249728. Its totient is φ = 86873472.

The previous prime is 323496431. The next prime is 323496457. The reversal of 323496432 is 234694323.

323496432 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 9 + 643 + 2 = 666.

323496432 is digitally balanced in base 3, 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 (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323496431) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2547153 + ... + 2547279.

Almost surely, 2323496432 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 323496432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560124864).

323496432 is an abundant number, since it is smaller than the sum of its proper divisors (796753296).

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

323496432 is a wasteful number, since it uses less digits than its factorization.

323496432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 323496432 is about 17986.0065606571. The cubic root of 323496432 is about 686.4725329646.

It can be divided in two parts, 32349 and 6432, that added together give a triangular number (38781 = T278).

The spelling of 323496432 in words is "three hundred twenty-three million, four hundred ninety-six thousand, four hundred thirty-two".