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381314304 = 283473771
BaseRepresentation
bin10110101110100…
…110010100000000
3222120111202220000
4112232212110000
51240104024204
6101500520000
712310055340
oct2656462400
9876452800
10381314304
11186273098
12a7850000
1360ccb487
14388dcd20
1523722039
hex16ba6500

381314304 has 360 divisors, whose sum is σ = 1353356928. Its totient is φ = 104509440.

The previous prime is 381314303. The next prime is 381314321. The reversal of 381314304 is 403413183.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381314303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5370589 + ... + 5370659.

Almost surely, 2381314304 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 381314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676678464).

381314304 is an abundant number, since it is smaller than the sum of its proper divisors (972042624).

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

381314304 is an equidigital number, since it uses as much as digits as its factorization.

381314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 381314304 is about 19527.2707770441. The cubic root of 381314304 is about 725.1497456837.

Adding to 381314304 its reverse (403413183), we get a palindrome (784727487).

The spelling of 381314304 in words is "three hundred eighty-one million, three hundred fourteen thousand, three hundred four".