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2304844542 = 23271121329401
BaseRepresentation
bin1000100101100001…
…0010001011111110
312221121222020022200
42021120102023332
514210020011132
61020412452330
7111054566250
oct21130221376
95847866280
102304844542
11a8302a900
12543a7a0a6
132a9680250
1417c16dcd0
15d752bd7c
hex896122fe

2304844542 has 288 divisors, whose sum is σ = 7006184640. Its totient is φ = 532224000.

The previous prime is 2304844537. The next prime is 2304844583. The reversal of 2304844542 is 2454484032.

2304844542 is a `hidden beast` number, since 2 + 30 + 4 + 84 + 4 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2304844497 and 2304844506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5747542 + ... + 5747942.

It is an arithmetic number, because the mean of its divisors is an integer number (24327030).

Almost surely, 22304844542 is an apocalyptic number.

2304844542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304844542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503092320).

2304844542 is an abundant number, since it is smaller than the sum of its proper divisors (4701340098).

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

2304844542 is a wasteful number, since it uses less digits than its factorization.

2304844542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 2304844542 is about 48008.7965064737. The cubic root of 2304844542 is about 1320.9322580987.

The spelling of 2304844542 in words is "two billion, three hundred four million, eight hundred forty-four thousand, five hundred forty-two".