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1339045344 = 25347213811
BaseRepresentation
bin100111111010000…
…0011010111100000
310110022122112220000
41033310003113200
510220243422334
6340512220000
745116461200
oct11764032740
93408575800
101339045344
1162794664a
1231453a600
13184559130
14c9ba6400
157c854299
hex4fd035e0

1339045344 has 360 divisors, whose sum is σ = 4939521048. Its totient is φ = 352719360.

The previous prime is 1339045321. The next prime is 1339045373. The reversal of 1339045344 is 4435409331.

1339045344 is a `hidden beast` number, since 1 + 33 + 90 + 4 + 534 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1339045299 and 1339045308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1650699 + ... + 1651509.

Almost surely, 21339045344 is an apocalyptic number.

1339045344 is a gapful number since it is divisible by the number (14) 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 1339045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469760524).

1339045344 is an abundant number, since it is smaller than the sum of its proper divisors (3600475704).

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

1339045344 is a wasteful number, since it uses less digits than its factorization.

1339045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 1339045344 is about 36592.9685048918. The cubic root of 1339045344 is about 1102.2118975095.

The spelling of 1339045344 in words is "one billion, three hundred thirty-nine million, forty-five thousand, three hundred forty-four".