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2304314000 = 24531152157
BaseRepresentation
bin1000100101011001…
…0000101010010000
312221120222021112222
42021112100222100
514204401022000
61020353240212
7111050226422
oct21126205220
95846867488
102304314000
11a827a823a
12543863068
132a9525911
1417c072812
15d7474a85
hex89590a90

2304314000 has 40 divisors (see below), whose sum is σ = 5571836088. Its totient is φ = 921724800.

The previous prime is 2304313993. The next prime is 2304314003. The reversal of 2304314000 is 4134032.

It can be written as a sum of positive squares in 4 ways, for example, as 669567376 + 1634746624 = 25876^2 + 40432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2304314000.

It is not an unprimeable number, because it can be changed into a prime (2304314003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574079 + ... + 578078.

Almost surely, 22304314000 is an apocalyptic number.

2304314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2304314000 is an abundant number, since it is smaller than the sum of its proper divisors (3267522088).

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

2304314000 is a wasteful number, since it uses less digits than its factorization.

2304314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152180 (or 1152164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2304314000 is about 48003.2707218998. The cubic root of 2304314000 is about 1320.8308971307.

Adding to 2304314000 its reverse (4134032), we get a palindrome (2308448032).

The spelling of 2304314000 in words is "two billion, three hundred four million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1152157 2304314 4608628 5760785 9217256 11521570 18434512 23043140 28803925 46086280 57607850 92172560 115215700 144019625 230431400 288039250 460862800 576078500 1152157000 2304314000