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1314343400 = 235222972861
BaseRepresentation
bin100111001010111…
…0100100111101000
310101121011120012012
41032111310213220
510142432442100
6334230535052
744366506646
oct11625644750
93347146165
101314343400
11614a04717
12308207488
1317c3ba7b6
14c67b6196
157a5c5135
hex4e5749e8

1314343400 has 48 divisors (see below), whose sum is σ = 3058247340. Its totient is φ = 525324800.

The previous prime is 1314343399. The next prime is 1314343403. The reversal of 1314343400 is 43434131.

It can be written as a sum of positive squares in 6 ways, for example, as 491686276 + 822657124 = 22174^2 + 28682^2 .

It is not an unprimeable number, because it can be changed into a prime (1314343403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457970 + ... + 460830.

Almost surely, 21314343400 is an apocalyptic number.

1314343400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314343400 is an abundant number, since it is smaller than the sum of its proper divisors (1743903940).

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

1314343400 is a wasteful number, since it uses less digits than its factorization.

1314343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1314343400 is about 36253.8742757240. The cubic root of 1314343400 is about 1095.3921296663.

Adding to 1314343400 its reverse (43434131), we get a palindrome (1357777531).

The spelling of 1314343400 in words is "one billion, three hundred fourteen million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2297 2861 4594 5722 9188 11444 11485 14305 18376 22888 22970 28610 45940 57220 57425 71525 91880 114440 114850 143050 229700 286100 459400 572200 6571717 13143434 26286868 32858585 52573736 65717170 131434340 164292925 262868680 328585850 657171700 1314343400