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1376383104 = 27351719137
BaseRepresentation
bin101001000001001…
…1111000010000000
310112220220111200000
41102002133002000
510304323224404
6344324400000
746052030505
oct12202370200
93486814600
101376383104
11646a28aa8
12324b46000
1318c1ccc95
14d0b254ac
1580c7c339
hex5209f080

1376383104 has 384 divisors, whose sum is σ = 4611297600. Its totient is φ = 406093824.

The previous prime is 1376383081. The next prime is 1376383111. The reversal of 1376383104 is 4013836731.

1376383104 is a `hidden beast` number, since 1 + 3 + 7 + 638 + 3 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 10046524 + ... + 10046660.

Almost surely, 21376383104 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 1376383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305648800).

1376383104 is an abundant number, since it is smaller than the sum of its proper divisors (3234914496).

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

1376383104 is a wasteful number, since it uses less digits than its factorization.

1376383104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1376383104 is about 37099.6375184448. The cubic root of 1376383104 is about 1112.3627683101.

The spelling of 1376383104 in words is "one billion, three hundred seventy-six million, three hundred eighty-three thousand, one hundred four".