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1314072396 = 223472136367
BaseRepresentation
bin100111001010011…
…0010011101001100
310101120122210110000
41032110302131030
510142400304041
6334221044300
744364300600
oct11624623514
93346583400
101314072396
1161483a04a
123080b6690
1317c324340
14c6745500
157a56ebb6
hex4e53274c

1314072396 has 180 divisors, whose sum is σ = 4304169408. Its totient is φ = 346514112.

The previous prime is 1314072379. The next prime is 1314072413. The reversal of 1314072396 is 6932704131.

1314072396 is a `hidden beast` number, since 13 + 1 + 407 + 239 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1314072379) and next prime (1314072413).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1314072396.

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, 203205 + ... + 209571.

Almost surely, 21314072396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314072396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152084704).

1314072396 is an abundant number, since it is smaller than the sum of its proper divisors (2990097012).

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

1314072396 is a wasteful number, since it uses less digits than its factorization.

1314072396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6392 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1314072396 is about 36250.1364962947. The cubic root of 1314072396 is about 1095.3168383196.

The spelling of 1314072396 in words is "one billion, three hundred fourteen million, seventy-two thousand, three hundred ninety-six".