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2300303424 = 26316771741
BaseRepresentation
bin1000100100011011…
…1101100001000000
312221022102112002010
42021012331201000
514202334202144
61020131252520
7111001153656
oct21106754100
95838375063
102300303424
11a80509011
1254244a140
132a87502b3
1417b70add6
15d6e315b9
hex891bd840

2300303424 has 56 divisors (see below), whose sum is σ = 6122749248. Its totient is φ = 762165760.

The previous prime is 2300303413. The next prime is 2300303437. The reversal of 2300303424 is 4243030032.

It is a super-2 number, since 2×23003034242 = 10582791684932247552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2300303424.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3807 + ... + 67934.

It is an arithmetic number, because the mean of its divisors is an integer number (109334808).

Almost surely, 22300303424 is an apocalyptic number.

2300303424 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 2300303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061374624).

2300303424 is an abundant number, since it is smaller than the sum of its proper divisors (3822445824).

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

2300303424 is a wasteful number, since it uses less digits than its factorization.

2300303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71923 (or 71913 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2300303424 is about 47961.4785426805. The cubic root of 2300303424 is about 1320.0641658432.

Adding to 2300303424 its reverse (4243030032), we get a palindrome (6543333456).

The spelling of 2300303424 in words is "two billion, three hundred million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 2004 2672 4008 5344 8016 10688 16032 32064 71741 143482 215223 286964 430446 573928 860892 1147856 1721784 2295712 3443568 4591424 6887136 11980747 13774272 23961494 35942241 47922988 71884482 95845976 143768964 191691952 287537928 383383904 575075856 766767808 1150151712 2300303424