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243244920 = 233517311717
BaseRepresentation
bin11100111111110…
…01111101111000
3121221201010022010
432133321331320
5444232314140
640045325520
76012355602
oct1637717570
9557633263
10243244920
1111533a566
12695668a0
133b518b09
142443c172
151654c880
hexe7f9f78

243244920 has 64 divisors (see below), whose sum is σ = 734015520. Its totient is φ = 64484864.

The previous prime is 243244913. The next prime is 243244927. The reversal of 243244920 is 29442342.

243244920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243244913) and next prime (243244927).

It is a super-2 number, since 2×2432449202 = 118336182211612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243244927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14902 + ... + 26618.

Almost surely, 2243244920 is an apocalyptic number.

243244920 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 243244920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367007760).

243244920 is an abundant number, since it is smaller than the sum of its proper divisors (490770600).

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

243244920 is a wasteful number, since it uses less digits than its factorization.

243244920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11904 (or 11900 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 243244920 is about 15596.3111023088. The cubic root of 243244920 is about 624.2347284242.

The spelling of 243244920 in words is "two hundred forty-three million, two hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6920 10380 11717 20760 23434 35151 46868 58585 70302 93736 117170 140604 175755 234340 281208 351510 468680 703020 1406040 2027041 4054082 6081123 8108164 10135205 12162246 16216328 20270410 24324492 30405615 40540820 48648984 60811230 81081640 121622460 243244920