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381407544 = 2332737113181
BaseRepresentation
bin10110101110111…
…101000100111000
3222120200111210100
4112232331010320
51240120020134
6101502515400
712310624230
oct2656750470
9876614710
10381407544
11186327151
12a7895b60
1361031a4b
1438924cc0
152373e999
hex16bbd138

381407544 has 192 divisors, whose sum is σ = 1229941440. Its totient is φ = 104509440.

The previous prime is 381407503. The next prime is 381407561. The reversal of 381407544 is 445704183.

381407544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3814075442 = 290943429240223872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 381407499 and 381407508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2107134 + ... + 2107314.

It is an arithmetic number, because the mean of its divisors is an integer number (6405945).

Almost surely, 2381407544 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 381407544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614970720).

381407544 is an abundant number, since it is smaller than the sum of its proper divisors (848533896).

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

381407544 is a wasteful number, since it uses less digits than its factorization.

381407544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 381407544 is about 19529.6580615227. The cubic root of 381407544 is about 725.2088460560.

The spelling of 381407544 in words is "three hundred eighty-one million, four hundred seven thousand, five hundred forty-four".