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2314276272 = 243472113313
BaseRepresentation
bin1000100111110001…
…0000110110110000
312222021201102020000
42021330100312300
514214423320042
61021350550000
7111231011100
oct21174206660
95867642200
102314276272
11a88392020
12547068300
132ab603259
1417d507200
15d829174c
hex89f10db0

2314276272 has 300 divisors, whose sum is σ = 8502676776. Its totient is φ = 600929280.

The previous prime is 2314276267. The next prime is 2314276277. The reversal of 2314276272 is 2726724132.

It is a happy number.

2314276272 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 27 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2314276267) and next prime (2314276277).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2314276277) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 696888 + ... + 700200.

Almost surely, 22314276272 is an apocalyptic number.

2314276272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314276272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251338388).

2314276272 is an abundant number, since it is smaller than the sum of its proper divisors (6188400504).

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

2314276272 is a wasteful number, since it uses less digits than its factorization.

2314276272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3336 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 2314276272 is about 48106.9254058083. The cubic root of 2314276272 is about 1322.7316160052.

The spelling of 2314276272 in words is "two billion, three hundred fourteen million, two hundred seventy-six thousand, two hundred seventy-two".