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243211248 = 24347171983
BaseRepresentation
bin11100111111100…
…01101111110000
3121221122102010000
432133301233300
5444230224443
640044510000
76012155460
oct1637615760
9557572100
10243211248
11115317235
126954b300
133b5066a7
142442dba0
15165428d3
hexe7f1bf0

243211248 has 400 divisors, whose sum is σ = 907441920. Its totient is φ = 61212672.

The previous prime is 243211237. The next prime is 243211289. The reversal of 243211248 is 842112342.

243211248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2432112482 = 118303422307435008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2930215 + ... + 2930297.

Almost surely, 2243211248 is an apocalyptic number.

243211248 is a gapful number since it is divisible by the number (28) 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 243211248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

243211248 is an abundant number, since it is smaller than the sum of its proper divisors (664230672).

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

243211248 is a wasteful number, since it uses less digits than its factorization.

243211248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 243211248 is about 15595.2315789154. The cubic root of 243211248 is about 624.2059231611.

The spelling of 243211248 in words is "two hundred forty-three million, two hundred eleven thousand, two hundred forty-eight".