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2285341344 = 2533111353349
BaseRepresentation
bin1000100000110111…
…1000101010100000
312220021021100222000
42020031320222200
514140021410334
61014434444000
7110430036516
oct21015705240
95807240860
102285341344
11a73019860
12539433600
132a5611cb0
141797344b6
15d5978299
hex88378aa0

2285341344 has 384 divisors, whose sum is σ = 8001504000. Its totient is φ = 625397760.

The previous prime is 2285341319. The next prime is 2285341349. The reversal of 2285341344 is 4431435822.

2285341344 is a `hidden beast` number, since 2 + 285 + 34 + 1 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2285341299 and 2285341308.

It is not an unprimeable number, because it can be changed into a prime (2285341349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6548082 + ... + 6548430.

It is an arithmetic number, because the mean of its divisors is an integer number (20837250).

Almost surely, 22285341344 is an apocalyptic number.

2285341344 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 2285341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000752000).

2285341344 is an abundant number, since it is smaller than the sum of its proper divisors (5716162656).

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

2285341344 is a wasteful number, since it uses less digits than its factorization.

2285341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2285341344 is about 47805.2438964597. The cubic root of 2285341344 is about 1317.1958654526.

The spelling of 2285341344 in words is "two billion, two hundred eighty-five million, three hundred forty-one thousand, three hundred forty-four".