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242040440 = 235101181331
BaseRepresentation
bin11100110110100…
…11111001111000
3121212102221001202
432123103321320
5443430243230
640003433332
75666211155
oct1633237170
9555387052
10242040440
11114697624
1269085848
133b1b67c5
142420722c
15163b0a45
hexe6d3e78

242040440 has 64 divisors (see below), whose sum is σ = 554692320. Its totient is φ = 95040000.

The previous prime is 242040439. The next prime is 242040499. The reversal of 242040440 is 44040242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731075 + ... + 731405.

Almost surely, 2242040440 is an apocalyptic number.

242040440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242040440 is an abundant number, since it is smaller than the sum of its proper divisors (312651880).

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

242040440 is a wasteful number, since it uses less digits than its factorization.

242040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 242040440 is about 15557.6489226361. The cubic root of 242040440 is about 623.2026785045.

Adding to 242040440 its reverse (44040242), we get a palindrome (286080682).

The spelling of 242040440 in words is "two hundred forty-two million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 181 202 331 362 404 505 662 724 808 905 1010 1324 1448 1655 1810 2020 2648 3310 3620 4040 6620 7240 13240 18281 33431 36562 59911 66862 73124 91405 119822 133724 146248 167155 182810 239644 267448 299555 334310 365620 479288 599110 668620 731240 1198220 1337240 2396440 6051011 12102022 24204044 30255055 48408088 60510110 121020220 242040440