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2304100242 = 23515131397
BaseRepresentation
bin1000100101010101…
…1100011110010010
312221120120102100000
42021111130132102
514204322201432
61020344510430
7111045346263
oct21125343622
95846512300
102304100242
11a82671684
1254377b416
132a947c532
1417c01896a
15d743157c
hex8955c792

2304100242 has 48 divisors (see below), whose sum is σ = 5211565632. Its totient is φ = 762922800.

The previous prime is 2304100231. The next prime is 2304100243. The reversal of 2304100242 is 2420014032.

2304100242 is a `hidden beast` number, since 230 + 410 + 0 + 24 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2304100243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57688 + ... + 89084.

It is an arithmetic number, because the mean of its divisors is an integer number (108574284).

Almost surely, 22304100242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304100242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605782816).

2304100242 is an abundant number, since it is smaller than the sum of its proper divisors (2907465390).

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

2304100242 is a wasteful number, since it uses less digits than its factorization.

2304100242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31565 (or 31553 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2304100242 is about 48001.0441761427. The cubic root of 2304100242 is about 1320.7900538976.

Adding to 2304100242 its reverse (2420014032), we get a palindrome (4724114274).

The spelling of 2304100242 in words is "two billion, three hundred four million, one hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 243 302 453 486 906 1359 2718 4077 8154 12231 24462 31397 36693 62794 73386 94191 188382 282573 565146 847719 1695438 2543157 4740947 5086314 7629471 9481894 14222841 15258942 28445682 42668523 85337046 128005569 256011138 384016707 768033414 1152050121 2304100242