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2348013312 = 2833192941
BaseRepresentation
bin1000101111110011…
…1101011100000000
320001122012102202000
42023330331130000
514302042411222
61024554024000
7112120532601
oct21374753400
96048172660
102348013312
11aa5435177
12556418000
132b55b61b8
14183ba9da8
15db2079ac
hex8bf3d700

2348013312 has 216 divisors, whose sum is σ = 7335956880. Its totient is φ = 740689920.

The previous prime is 2348013301. The next prime is 2348013319. The reversal of 2348013312 is 2133108432.

2348013312 is a `hidden beast` number, since 2 + 348 + 0 + 1 + 3 + 312 = 666.

2348013312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348013319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2494762 + ... + 2495702.

Almost surely, 22348013312 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 2348013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667978440).

2348013312 is an abundant number, since it is smaller than the sum of its proper divisors (4987943568).

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

2348013312 is an equidigital number, since it uses as much as digits as its factorization.

2348013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2348013312 is about 48456.3031194085. The cubic root of 2348013312 is about 1329.1281360690.

The spelling of 2348013312 in words is "two billion, three hundred forty-eight million, thirteen thousand, three hundred twelve".