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1378331136 = 293271319173
BaseRepresentation
bin101001000100111…
…1010101000000000
310120001120110212100
41102021322220000
510310323044021
6344434230400
746104423060
oct12211725000
93501513770
101378331136
11648039646
12325725400
1318c732870
14d10b13a0
1581014626
hex5227aa00

1378331136 has 480 divisors, whose sum is σ = 5183418240. Its totient is φ = 342392832.

The previous prime is 1378331131. The next prime is 1378331167. The reversal of 1378331136 is 6311338731.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1378331136.

It is not an unprimeable number, because it can be changed into a prime (1378331131) 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, 7967146 + ... + 7967318.

It is an arithmetic number, because the mean of its divisors is an integer number (10798788).

Almost surely, 21378331136 is an apocalyptic number.

1378331136 is a gapful number since it is divisible by the number (16) 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 1378331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591709120).

1378331136 is an abundant number, since it is smaller than the sum of its proper divisors (3805087104).

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

1378331136 is a wasteful number, since it uses less digits than its factorization.

1378331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 1378331136 is about 37125.8822925463. The cubic root of 1378331136 is about 1112.8873065645.

Adding to 1378331136 its reverse (6311338731), we get a palindrome (7689669867).

The spelling of 1378331136 in words is "one billion, three hundred seventy-eight million, three hundred thirty-one thousand, one hundred thirty-six".