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2314073916 = 22327111953829
BaseRepresentation
bin1000100111101101…
…1111011100111100
312222021100010122100
42021323133130330
514214400331131
61021342345100
7111226206120
oct21173373474
95867303570
102314073916
11a88263a90
12546b8b190
132ab56210b
1417d493580
15d82517e6
hex89edf73c

2314073916 has 288 divisors, whose sum is σ = 7830950400. Its totient is φ = 558005760.

The previous prime is 2314073903. The next prime is 2314073929. The reversal of 2314073916 is 6193704132.

2314073916 is a `hidden beast` number, since 231 + 407 + 3 + 9 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2314073903) and next prime (2314073929).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2790990 + ... + 2791818.

It is an arithmetic number, because the mean of its divisors is an integer number (27190800).

Almost surely, 22314073916 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 2314073916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915475200).

2314073916 is an abundant number, since it is smaller than the sum of its proper divisors (5516876484).

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

2314073916 is a wasteful number, since it uses less digits than its factorization.

2314073916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 924 counting only the distinct ones).

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

The square root of 2314073916 is about 48104.8221699239. The cubic root of 2314073916 is about 1322.6930624865.

The spelling of 2314073916 in words is "two billion, three hundred fourteen million, seventy-three thousand, nine hundred sixteen".