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1369323072 = 2632131731347
BaseRepresentation
bin101000110011110…
…0011011001000000
310112102121211010100
41101213203121000
510301021314242
6343513202400
745635024355
oct12147433100
93472554110
101369323072
11642a46767
12322700400
1318a8ca650
14cdc0862c
158033554c
hex519e3640

1369323072 has 336 divisors, whose sum is σ = 4633155072. Its totient is φ = 382648320.

The previous prime is 1369323061. The next prime is 1369323079. The reversal of 1369323072 is 2703239631.

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

It is not an unprimeable number, because it can be changed into a prime (1369323079) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3946003 + ... + 3946349.

It is an arithmetic number, because the mean of its divisors is an integer number (13789152).

Almost surely, 21369323072 is an apocalyptic number.

1369323072 is a gapful number since it is divisible by the number (12) 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 1369323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316577536).

1369323072 is an abundant number, since it is smaller than the sum of its proper divisors (3263832000).

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

1369323072 is a wasteful number, since it uses less digits than its factorization.

1369323072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1369323072 is about 37004.3655802934. The cubic root of 1369323072 is about 1110.4575858704.

The spelling of 1369323072 in words is "one billion, three hundred sixty-nine million, three hundred twenty-three thousand, seventy-two".