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1349307920 = 24553318233
BaseRepresentation
bin101000001101100…
…1100111000010000
310111000221221111102
41100123030320100
510230410323140
6341520203532
745302633222
oct12033147020
93430857442
101349307920
11632716014
12317a695a8
1318671036c
14cb2b8412
157d6cee15
hex506cce10

1349307920 has 40 divisors (see below), whose sum is σ = 3196342296. Its totient is φ = 529538048.

The previous prime is 1349307919. The next prime is 1349307941. The reversal of 1349307920 is 297039431.

It can be written as a sum of positive squares in 4 ways, for example, as 120384784 + 1228923136 = 10972^2 + 35056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154877 + ... + 163356.

Almost surely, 21349307920 is an apocalyptic number.

1349307920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349307920 is an abundant number, since it is smaller than the sum of its proper divisors (1847034376).

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

1349307920 is a wasteful number, since it uses less digits than its factorization.

1349307920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318299 (or 318293 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 1349307920 is about 36732.9269185019. The cubic root of 1349307920 is about 1105.0205547523.

The spelling of 1349307920 in words is "one billion, three hundred forty-nine million, three hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 318233 636466 1272932 1591165 2545864 3182330 5091728 6364660 12729320 16866349 25458640 33732698 67465396 84331745 134930792 168663490 269861584 337326980 674653960 1349307920