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2274338304 = 29337191237
BaseRepresentation
bin1000011110001111…
…1010011000000000
312212111120100122000
42013203322120000
514124212311204
61013402544000
7110234361630
oct20743723000
95774510560
102274338304
11a67894037
12535808000
132a325ba14
141780ac6c0
15d4a03039
hex878fa600

2274338304 has 320 divisors, whose sum is σ = 8105433600. Its totient is φ = 615112704.

The previous prime is 2274338303. The next prime is 2274338329. The reversal of 2274338304 is 4038334722.

2274338304 is a `hidden beast` number, since 2 + 274 + 3 + 383 + 0 + 4 = 666.

It is a super-2 number, since 2×22743383042 = 10345229442083192832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274338303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837974 + ... + 1839210.

It is an arithmetic number, because the mean of its divisors is an integer number (25329480).

Almost surely, 22274338304 is an apocalyptic number.

2274338304 is a gapful number since it is divisible by the number (24) 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 2274338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052716800).

2274338304 is an abundant number, since it is smaller than the sum of its proper divisors (5831095296).

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

2274338304 is a wasteful number, since it uses less digits than its factorization.

2274338304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2274338304 is about 47690.0231075641. The cubic root of 2274338304 is about 1315.0785331905.

The spelling of 2274338304 in words is "two billion, two hundred seventy-four million, three hundred thirty-eight thousand, three hundred four".