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1376241984 = 2632132361131
BaseRepresentation
bin101001000000111…
…1100100101000000
310112220122100002100
41102001330211000
510304304220414
6344321350400
746050602205
oct12201744500
93486570070
101376241984
11646941a77
12324a98400
1318c180990
14d0ac9cac
1580c50609
hex5207c940

1376241984 has 336 divisors, whose sum is σ = 4539959424. Its totient is φ = 395366400.

The previous prime is 1376241959. The next prime is 1376241989. The reversal of 1376241984 is 4891426731.

1376241984 is a `hidden beast` number, since 1 + 3 + 7 + 624 + 19 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376241989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10505599 + ... + 10505729.

It is an arithmetic number, because the mean of its divisors is an integer number (13511784).

Almost surely, 21376241984 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 1376241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269979712).

1376241984 is an abundant number, since it is smaller than the sum of its proper divisors (3163717440).

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

1376241984 is a wasteful number, since it uses less digits than its factorization.

1376241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1376241984 is about 37097.7355643171. The cubic root of 1376241984 is about 1112.3247503100.

The spelling of 1376241984 in words is "one billion, three hundred seventy-six million, two hundred forty-one thousand, nine hundred eighty-four".