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1376483328 = 21133113173
BaseRepresentation
bin101001000001011…
…0111100000000000
310112221002121011000
41102002313200000
510304334431303
6344330452000
746052625633
oct12202674000
93487077130
101376483328
11646a97330
12324b94000
1318c23679c
14d0b4dc1a
1580c9bda3
hex520b7800

1376483328 has 384 divisors, whose sum is σ = 4654540800. Its totient is φ = 398131200.

The previous prime is 1376483293. The next prime is 1376483341. The reversal of 1376483328 is 8233846731.

1376483328 is a `hidden beast` number, since 137 + 6 + 483 + 32 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18855900 + ... + 18855972.

It is an arithmetic number, because the mean of its divisors is an integer number (12121200).

Almost surely, 21376483328 is an apocalyptic number.

1376483328 is a gapful number since it is divisible by the number (18) 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 1376483328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327270400).

1376483328 is an abundant number, since it is smaller than the sum of its proper divisors (3278057472).

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

1376483328 is a wasteful number, since it uses less digits than its factorization.

1376483328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 1376483328 is about 37100.9882348166. The cubic root of 1376483328 is about 1112.3897672709.

The spelling of 1376483328 in words is "one billion, three hundred seventy-six million, four hundred eighty-three thousand, three hundred twenty-eight".