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1378020384 = 253313791553
BaseRepresentation
bin101001000100010…
…1110110000100000
310120000222200121000
41102020232300200
510310233123014
6344423432000
746101660066
oct12210566040
93500880530
101378020384
11647947124
123255b5600
1318c6542a0
14d1030036
1580ea2509
hex5222ec20

1378020384 has 192 divisors, whose sum is σ = 4386009600. Its totient is φ = 418369536.

The previous prime is 1378020361. The next prime is 1378020409. The reversal of 1378020384 is 4830208731.

1378020384 is a `hidden beast` number, since 1 + 378 + 0 + 203 + 84 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 886552 + ... + 888104.

It is an arithmetic number, because the mean of its divisors is an integer number (22843800).

Almost surely, 21378020384 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 1378020384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193004800).

1378020384 is an abundant number, since it is smaller than the sum of its proper divisors (3007989216).

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

1378020384 is a wasteful number, since it uses less digits than its factorization.

1378020384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1378020384 is about 37121.6969439707. The cubic root of 1378020384 is about 1112.8036648473.

The spelling of 1378020384 in words is "one billion, three hundred seventy-eight million, twenty thousand, three hundred eighty-four".