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2304334000 = 24535321739
BaseRepresentation
bin1000100101011001…
…0101100010110000
312221121000021222201
42021112111202300
514204402142000
61020353512544
7111050341633
oct21126254260
95847007881
102304334000
11a82811271
12543872754
132a9531a57
1417c079c1a
15d747a96a
hex895958b0

2304334000 has 80 divisors (see below), whose sum is σ = 5677270560. Its totient is φ = 904300800.

The previous prime is 2304333991. The next prime is 2304334007. The reversal of 2304334000 is 4334032.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2304334007) 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 15 ways as a sum of consecutive naturals, for example, 95131 + ... + 116869.

It is an arithmetic number, because the mean of its divisors is an integer number (70965882).

Almost surely, 22304334000 is an apocalyptic number.

2304334000 is a gapful number since it is divisible by the number (20) 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 2304334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838635280).

2304334000 is an abundant number, since it is smaller than the sum of its proper divisors (3372936560).

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

2304334000 is a wasteful number, since it uses less digits than its factorization.

2304334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21815 (or 21799 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 2304334000 is about 48003.4790405862. The cubic root of 2304334000 is about 1320.8347184476.

Adding to 2304334000 its reverse (4334032), we get a palindrome (2308668032).

The spelling of 2304334000 in words is "two billion, three hundred four million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6625 10600 13250 21200 21739 26500 43478 53000 86956 106000 108695 173912 217390 347824 434780 543475 869560 1086950 1152167 1739120 2173900 2304334 2717375 4347800 4608668 5434750 5760835 8695600 9217336 10869500 11521670 18434672 21739000 23043340 28804175 43478000 46086680 57608350 92173360 115216700 144020875 230433400 288041750 460866800 576083500 1152167000 2304334000