Search a number
-
+
3231423936 = 2633131967113
BaseRepresentation
bin1100000010011011…
…1001110111000000
322100012111100022000
43000212321313000
523104221031221
61252352344000
7143035436016
oct30046716700
98305440260
103231423936
1114090666a4
12762245000
133c6621990
142292488b6
1513da58e26
hexc09b9dc0

3231423936 has 448 divisors, whose sum is σ = 11026444800. Its totient is φ = 919683072.

The previous prime is 3231423931. The next prime is 3231423959. The reversal of 3231423936 is 6393241323.

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 self number, because there is not a number n which added to its sum of digits gives 3231423936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3231423931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28596616 + ... + 28596728.

It is an arithmetic number, because the mean of its divisors is an integer number (24612600).

Almost surely, 23231423936 is an apocalyptic number.

3231423936 is a gapful number since it is divisible by the number (36) 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 3231423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513222400).

3231423936 is an abundant number, since it is smaller than the sum of its proper divisors (7795020864).

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

3231423936 is a wasteful number, since it uses less digits than its factorization.

3231423936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 3231423936 is about 56845.6149232287. The cubic root of 3231423936 is about 1478.4205111845.

The spelling of 3231423936 in words is "three billion, two hundred thirty-one million, four hundred twenty-three thousand, nine hundred thirty-six".