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242345400 = 233521173503
BaseRepresentation
bin11100111000111…
…10010110111000
3121220000102101120
432130132112320
5444020023100
640014145240
76001621233
oct1634362670
9556012346
10242345400
11114885760
12691b2220
133b29255b
142428641a
15164210a0
hexe71e5b8

242345400 has 192 divisors, whose sum is σ = 832446720. Its totient is φ = 57830400.

The previous prime is 242345393. The next prime is 242345401. The reversal of 242345400 is 4543242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242345401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481549 + ... + 482051.

It is an arithmetic number, because the mean of its divisors is an integer number (4335660).

Almost surely, 2242345400 is an apocalyptic number.

242345400 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 242345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416223360).

242345400 is an abundant number, since it is smaller than the sum of its proper divisors (590101320).

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

242345400 is a wasteful number, since it uses less digits than its factorization.

242345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 242345400 is about 15567.4468041487. The cubic root of 242345400 is about 623.4643043795.

Adding to 242345400 its reverse (4543242), we get a palindrome (246888642).

The spelling of 242345400 in words is "two hundred forty-two million, three hundred forty-five thousand, four hundred".