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1314434052 = 2232109334973
BaseRepresentation
bin100111001011000…
…1010110000000100
310101121100011112200
41032112022300010
510142443342202
6334232514500
744400335151
oct11626126004
93347304480
101314434052
11614a66838
1230824ba30
1317c41cb39
14c67db228
157a5e1e1c
hex4e58ac04

1314434052 has 36 divisors (see below), whose sum is σ = 3353089740. Its totient is φ = 434123712.

The previous prime is 1314433997. The next prime is 1314434059. The reversal of 1314434052 is 2504344131.

It is a happy number.

1314434052 is a `hidden beast` number, since 1 + 314 + 4 + 340 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 833245956 + 481188096 = 28866^2 + 21936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1314434059) 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, 163563 + ... + 171410.

Almost surely, 21314434052 is an apocalyptic number.

1314434052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314434052 is an abundant number, since it is smaller than the sum of its proper divisors (2038655688).

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

1314434052 is a wasteful number, since it uses less digits than its factorization.

1314434052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335092 (or 335087 counting only the distinct ones).

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

The square root of 1314434052 is about 36255.1244929596. The cubic root of 1314434052 is about 1095.4173126346.

Adding to 1314434052 its reverse (2504344131), we get a palindrome (3818778183).

The spelling of 1314434052 in words is "one billion, three hundred fourteen million, four hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 334973 669946 1004919 1339892 2009838 3014757 4019676 6029514 12059028 36512057 73024114 109536171 146048228 219072342 328608513 438144684 657217026 1314434052