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2304412020 = 2232512802289
BaseRepresentation
bin1000100101011010…
…1000100101110100
312221121011021000100
42021112220211310
514204412141040
61020355314100
7111051115251
oct21126504564
95847137010
102304412020
11a82864949
125438ab930
132a955b411
1417c09a428
15d7493b30
hex895a8974

2304412020 has 36 divisors (see below), whose sum is σ = 6990050340. Its totient is φ = 614509824.

The previous prime is 2304412013. The next prime is 2304412037. The reversal of 2304412020 is 202144032.

2304412020 is a `hidden beast` number, since 23 + 0 + 441 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 281031696 + 2023380324 = 16764^2 + 44982^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2304411984 and 2304412002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6400965 + ... + 6401324.

It is an arithmetic number, because the mean of its divisors is an integer number (194168065).

Almost surely, 22304412020 is an apocalyptic number.

2304412020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2304412020 is an abundant number, since it is smaller than the sum of its proper divisors (4685638320).

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

2304412020 is a wasteful number, since it uses less digits than its factorization.

2304412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12802304 (or 12802299 counting only the distinct ones).

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

The square root of 2304412020 is about 48004.2916831402. The cubic root of 2304412020 is about 1320.8496251931.

Adding to 2304412020 its reverse (202144032), we get a palindrome (2506556052).

The spelling of 2304412020 in words is "two billion, three hundred four million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12802289 25604578 38406867 51209156 64011445 76813734 115220601 128022890 153627468 192034335 230441202 256045780 384068670 460882404 576103005 768137340 1152206010 2304412020