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1314430452 = 2232291259033
BaseRepresentation
bin100111001011000…
…1001110111110100
310101121022222121100
41032112021313310
510142443233302
6334232450100
744400321516
oct11626116764
93347288540
101314430452
11614a64065
12308249930
1317c41b2ca
14c67d9bb6
157a5e0d1c
hex4e589df4

1314430452 has 36 divisors (see below), whose sum is σ = 3437162820. Its totient is φ = 423034752.

The previous prime is 1314430417. The next prime is 1314430457. The reversal of 1314430452 is 2540344131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 644448996 + 669981456 = 25386^2 + 25884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314430457) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 628473 + ... + 630560.

It is an arithmetic number, because the mean of its divisors is an integer number (95476745).

Almost surely, 21314430452 is an apocalyptic number.

1314430452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314430452 is an abundant number, since it is smaller than the sum of its proper divisors (2122732368).

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

1314430452 is a wasteful number, since it uses less digits than its factorization.

1314430452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259072 (or 1259067 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1314430452 is about 36255.0748447717. The cubic root of 1314430452 is about 1095.4163125829.

Adding to 1314430452 its reverse (2540344131), we get a palindrome (3854774583).

The spelling of 1314430452 in words is "one billion, three hundred fourteen million, four hundred thirty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1259033 2518066 3777099 5036132 7554198 11331297 15108396 22662594 36511957 45325188 73023914 109535871 146047828 219071742 328607613 438143484 657215226 1314430452