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1377342720 = 283251317541
BaseRepresentation
bin101001000011000…
…1001010100000000
310112222201021000100
41102012021110000
510310044431340
6344401122400
746063135305
oct12206112400
93488637010
101377342720
11647523a76
12325329400
1318c4779c0
14d0cd50ac
1580dbb830
hex52189500

1377342720 has 432 divisors, whose sum is σ = 5443965072. Its totient is φ = 318504960.

The previous prime is 1377342719. The next prime is 1377342721. The reversal of 1377342720 is 272437731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1377342719) and next prime (1377342721).

It can be written as a sum of positive squares in 8 ways, for example, as 39538944 + 1337803776 = 6288^2 + 36576^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377342721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545650 + ... + 2546190.

It is an arithmetic number, because the mean of its divisors is an integer number (12601771).

Almost surely, 21377342720 is an apocalyptic number.

1377342720 is a gapful number since it is divisible by the number (10) 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 1377342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721982536).

1377342720 is an abundant number, since it is smaller than the sum of its proper divisors (4066622352).

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

1377342720 is a wasteful number, since it uses less digits than its factorization.

1377342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 1377342720 is about 37112.5682215607. The cubic root of 1377342720 is about 1112.6212218200.

The spelling of 1377342720 in words is "one billion, three hundred seventy-seven million, three hundred forty-two thousand, seven hundred twenty".