Search a number
-
+
2304342024 = 2334110332267
BaseRepresentation
bin1000100101011001…
…0111100000001000
312221121000200222220
42021112113200020
514204402421044
61020354014040
7111050404215
oct21126274010
95847020886
102304342024
11a828172a6
12543877320
132a95355ba
1417c07cb0c
15d747d019
hex89597808

2304342024 has 64 divisors (see below), whose sum is σ = 5909682240. Its totient is φ = 748323840.

The previous prime is 2304342023. The next prime is 2304342107. The reversal of 2304342024 is 4202434032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2304341985 and 2304342003.

It is not an unprimeable number, because it can be changed into a prime (2304342023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015339 + ... + 1017605.

It is an arithmetic number, because the mean of its divisors is an integer number (92338785).

Almost surely, 22304342024 is an apocalyptic number.

2304342024 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 2304342024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954841120).

2304342024 is an abundant number, since it is smaller than the sum of its proper divisors (3605340216).

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

2304342024 is a wasteful number, since it uses less digits than its factorization.

2304342024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2304342024 is about 48003.5626177891. The cubic root of 2304342024 is about 1320.8362515536.

Adding to 2304342024 its reverse (4202434032), we get a palindrome (6506776056).

The spelling of 2304342024 in words is "two billion, three hundred four million, three hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1033 2066 2267 3099 4132 4534 6198 6801 8264 9068 12396 13602 18136 24792 27204 42353 54408 84706 92947 127059 169412 185894 254118 278841 338824 371788 508236 557682 743576 1016472 1115364 2230728 2341811 4683622 7025433 9367244 14050866 18734488 28101732 56203464 96014251 192028502 288042753 384057004 576085506 768114008 1152171012 2304342024