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3144707328 = 283717191811
BaseRepresentation
bin1011101101110000…
…0110110100000000
322010011022200110210
42323130012310000
522420021113303
61240013554120
7140633366640
oct27334066400
98104280423
103144707328
111374118184
127391a5940
133b167c389
1421b914520
1513612a203
hexbb706d00

3144707328 has 288 divisors, whose sum is σ = 10666736640. Its totient is φ = 800686080.

The previous prime is 3144707323. The next prime is 3144707341. The reversal of 3144707328 is 8237074413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144707323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1735543 + ... + 1737353.

It is an arithmetic number, because the mean of its divisors is an integer number (37037280).

Almost surely, 23144707328 is an apocalyptic number.

3144707328 is a gapful number since it is divisible by the number (38) 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 3144707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333368320).

3144707328 is an abundant number, since it is smaller than the sum of its proper divisors (7522029312).

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

3144707328 is a wasteful number, since it uses less digits than its factorization.

3144707328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 3144707328 is about 56077.6901093474. The cubic root of 3144707328 is about 1465.0757419479.

The spelling of 3144707328 in words is "three billion, one hundred forty-four million, seven hundred seven thousand, three hundred twenty-eight".