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3012714432 = 263373131723
BaseRepresentation
bin1011001110010010…
…0101111111000000
321202221221202021000
42303210211333000
522132223330212
61214540532000
7134441436000
oct26344457700
97687852230
103012714432
111306664a42
12700b51000
13390216780
14208196000
151297561dc
hexb3925fc0

3012714432 has 896 divisors, whose sum is σ = 12289536000. Its totient is φ = 715309056.

The previous prime is 3012714407. The next prime is 3012714433. The reversal of 3012714432 is 2344172103.

It is a happy number.

3012714432 is digitally balanced in base 2, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 3012714396 and 3012714405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012714433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130987573 + ... + 130987595.

It is an arithmetic number, because the mean of its divisors is an integer number (13716000).

Almost surely, 23012714432 is an apocalyptic number.

3012714432 is a gapful number since it is divisible by the number (32) 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 3012714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768000).

3012714432 is an abundant number, since it is smaller than the sum of its proper divisors (9276821568).

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

3012714432 is a wasteful number, since it uses less digits than its factorization.

3012714432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3012714432 is about 54888.1993874822. The cubic root of 3012714432 is about 1444.2841857986.

Adding to 3012714432 its reverse (2344172103), we get a palindrome (5356886535).

The spelling of 3012714432 in words is "three billion, twelve million, seven hundred fourteen thousand, four hundred thirty-two".