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242130400 = 2552302663
BaseRepresentation
bin11100110111010…
…01110111100000
3121212121111110121
432123221313200
5443441133100
640005410024
76000034351
oct1633516740
9555544417
10242130400
11114749176
1269109914
133b218735
142422bd28
15163cc51a
hexe6e9de0

242130400 has 36 divisors (see below), whose sum is σ = 591102792. Its totient is φ = 96851840.

The previous prime is 242130389. The next prime is 242130419. The reversal of 242130400 is 4031242.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150532 + ... + 152131.

It is an arithmetic number, because the mean of its divisors is an integer number (16419522).

Almost surely, 2242130400 is an apocalyptic number.

242130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242130400 is an abundant number, since it is smaller than the sum of its proper divisors (348972392).

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

242130400 is a wasteful number, since it uses less digits than its factorization.

242130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302683 (or 302670 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 242130400 is about 15560.5398363939. The cubic root of 242130400 is about 623.2798782328.

Adding to 242130400 its reverse (4031242), we get a palindrome (246161642).

The spelling of 242130400 in words is "two hundred forty-two million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 302663 605326 1210652 1513315 2421304 3026630 4842608 6053260 7566575 9685216 12106520 15133150 24213040 30266300 48426080 60532600 121065200 242130400