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242403000 = 23353721797
BaseRepresentation
bin11100111001011…
…00011010111000
3121220010100101220
432130230122320
5444023344000
640015312040
76002251200
oct1634543270
9556110356
10242403000
11114914a64
126921b620
133b2b2838
142429d400
15164331a0
hexe72c6b8

242403000 has 384 divisors, whose sum is σ = 941129280. Its totient is φ = 51609600.

The previous prime is 242402989. The next prime is 242403011. The reversal of 242403000 is 304242.

242403000 = T8 + T9 + ... + T1132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242402989) and next prime (242403011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2498952 + ... + 2499048.

Almost surely, 2242403000 is an apocalyptic number.

242403000 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 242403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

242403000 is an abundant number, since it is smaller than the sum of its proper divisors (698726280).

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

242403000 is a wasteful number, since it uses less digits than its factorization.

242403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 242403000 is about 15569.2967085864. The cubic root of 242403000 is about 623.5136949040.

Adding to 242403000 its reverse (304242), we get a palindrome (242707242).

The spelling of 242403000 in words is "two hundred forty-two million, four hundred three thousand".