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2300243040 = 253251597391
BaseRepresentation
bin1000100100011010…
…1110110001100000
312221022022110020200
42021012232301200
514202330234130
61020130105200
7111000512634
oct21106566140
95838273220
102300243040
11a80477707
1254241b200
132a872b974
1417b6d2dc4
15d6e1d760
hex891aec60

2300243040 has 72 divisors (see below), whose sum is σ = 7849584288. Its totient is φ = 613397760.

The previous prime is 2300243009. The next prime is 2300243051. The reversal of 2300243040 is 403420032.

2300243040 is a `hidden beast` number, since 230 + 0 + 2 + 430 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×23002430402 = 10582236086136883200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 797256 + ... + 800135.

It is an arithmetic number, because the mean of its divisors is an integer number (109022004).

Almost surely, 22300243040 is an apocalyptic number.

2300243040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300243040 is an abundant number, since it is smaller than the sum of its proper divisors (5549341248).

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

2300243040 is a wasteful number, since it uses less digits than its factorization.

2300243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597412 (or 1597401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2300243040 is about 47960.8490333522. The cubic root of 2300243040 is about 1320.0526149826.

Adding to 2300243040 its reverse (403420032), we get a palindrome (2703663072).

The spelling of 2300243040 in words is "two billion, three hundred million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1597391 3194782 4792173 6389564 7986955 9584346 12779128 14376519 15973910 19168692 23960865 25558256 28753038 31947820 38337384 47921730 51116512 57506076 63895640 71882595 76674768 95843460 115012152 127791280 143765190 153349536 191686920 230024304 255582560 287530380 383373840 460048608 575060760 766747680 1150121520 2300243040