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242343300 = 223522333467
BaseRepresentation
bin11100111000111…
…01110110000100
3121220000022111210
432130131312010
5444014441200
640014131420
76001612143
oct1634356604
9556008453
10242343300
11114884121
12691b0b70
133b291604
142428575a
1516420650
hexe71dd84

242343300 has 72 divisors (see below), whose sum is σ = 704392416. Its totient is φ = 64328960.

The previous prime is 242343287. The next prime is 242343331. The reversal of 242343300 is 3343242.

242343300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68167 + ... + 71633.

It is an arithmetic number, because the mean of its divisors is an integer number (9783228).

Almost surely, 2242343300 is an apocalyptic number.

242343300 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 242343300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352196208).

242343300 is an abundant number, since it is smaller than the sum of its proper divisors (462049116).

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

242343300 is a wasteful number, since it uses less digits than its factorization.

242343300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3710 counting only the distinct ones).

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

The square root of 242343300 is about 15567.3793555627. The cubic root of 242343300 is about 623.4625035355.

Adding to 242343300 its reverse (3343242), we get a palindrome (245686542).

The spelling of 242343300 in words is "two hundred forty-two million, three hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 233 300 466 699 932 1165 1398 2330 2796 3467 3495 4660 5825 6934 6990 10401 11650 13868 13980 17335 17475 20802 23300 34670 34950 41604 52005 69340 69900 86675 104010 173350 208020 260025 346700 520050 807811 1040100 1615622 2423433 3231244 4039055 4846866 8078110 9693732 12117165 16156220 20195275 24234330 40390550 48468660 60585825 80781100 121171650 242343300