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1397387376 = 243471121967
BaseRepresentation
bin101001101001010…
…0111000001110000
310121101102122010000
41103102213001300
510330212344001
6350354510000
746425411450
oct12322470160
93541378100
101397387376
11657874900
1232bb95300
13193675548
14d3831d60
1582a2aa86
hex534a7070

1397387376 has 600 divisors, whose sum is σ = 5427847040. Its totient is φ = 338722560.

The previous prime is 1397387317. The next prime is 1397387393. The reversal of 1397387376 is 6737837931.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20856495 + ... + 20856561.

Almost surely, 21397387376 is an apocalyptic number.

1397387376 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 1397387376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713923520).

1397387376 is an abundant number, since it is smaller than the sum of its proper divisors (4030459664).

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

1397387376 is a wasteful number, since it uses less digits than its factorization.

1397387376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The square root of 1397387376 is about 37381.6449076281. The cubic root of 1397387376 is about 1117.9926245696.

The spelling of 1397387376 in words is "one billion, three hundred ninety-seven million, three hundred eighty-seven thousand, three hundred seventy-six".