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3132238032 = 24337111729191
BaseRepresentation
bin1011101010110010…
…0010100011010000
322002021212011211000
42322230202203100
522403323104112
61234450422000
7140422404210
oct27254424320
98067764730
103132238032
111368080880
12734b91900
133abc048b1
14219dca240
15134eb57dc
hexbab228d0

3132238032 has 640 divisors, whose sum is σ = 12342067200. Its totient is φ = 735436800.

The previous prime is 3132238013. The next prime is 3132238069. The reversal of 3132238032 is 2308322313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3132237987 and 3132238005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16399057 + ... + 16399247.

It is an arithmetic number, because the mean of its divisors is an integer number (19284480).

Almost surely, 23132238032 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 3132238032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171033600).

3132238032 is an abundant number, since it is smaller than the sum of its proper divisors (9209829168).

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

3132238032 is a wasteful number, since it uses less digits than its factorization.

3132238032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3132238032 is about 55966.4009205523. The cubic root of 3132238032 is about 1463.1367525752.

The spelling of 3132238032 in words is "three billion, one hundred thirty-two million, two hundred thirty-eight thousand, thirty-two".