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1369440000 = 283354317
BaseRepresentation
bin101000110011111…
…1111111100000000
310112102211202112000
41101213333330000
510301034040000
6343515504000
745636022305
oct12147777400
93472752460
101369440000
116430165a5
12322758000
1318a93b936
14cdc390ac
158035a000
hex519fff00

1369440000 has 360 divisors, whose sum is σ = 5076437520. Its totient is φ = 364032000.

The previous prime is 1369439993. The next prime is 1369440019. The reversal of 1369440000 is 449631.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319842 + ... + 4320158.

Almost surely, 21369440000 is an apocalyptic number.

1369440000 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 1369440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538218760).

1369440000 is an abundant number, since it is smaller than the sum of its proper divisors (3706997520).

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

1369440000 is an frugal number, since it uses more digits than its factorization.

1369440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1369440000 is about 37005.9454682623. The cubic root of 1369440000 is about 1110.4891927014.

Adding to 1369440000 its reverse (449631), we get a palindrome (1369889631).

The spelling of 1369440000 in words is "one billion, three hundred sixty-nine million, four hundred forty thousand".