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242444440 = 23571018573
BaseRepresentation
bin11100111001101…
…10100010011000
3121220012110020201
432130312202120
5444031210230
640020231544
76002513050
oct1634664230
9556173221
10242444440
11114943107
126923b5b4
133b2c8664
14242b0560
15164405ca
hexe736898

242444440 has 64 divisors (see below), whose sum is σ = 629674560. Its totient is φ = 82291200.

The previous prime is 242444431. The next prime is 242444467. The reversal of 242444440 is 44444242.

242444440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 242444399 and 242444408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23994 + ... + 32566.

It is an arithmetic number, because the mean of its divisors is an integer number (9838665).

Almost surely, 2242444440 is an apocalyptic number.

242444440 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 242444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314837280).

242444440 is an abundant number, since it is smaller than the sum of its proper divisors (387230120).

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

242444440 is a wasteful number, since it uses less digits than its factorization.

242444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 242444440 is about 15570.6274761167. The cubic root of 242444440 is about 623.5492238032.

Adding to 242444440 its reverse (44444242), we get a palindrome (286888682).

It can be divided in two parts, 2424 and 44440, that added together give a palindrome (46864).

The spelling of 242444440 in words is "two hundred forty-two million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2828 3535 4040 5656 7070 8573 14140 17146 28280 34292 42865 60011 68584 85730 120022 171460 240044 300055 342920 480088 600110 865873 1200220 1731746 2400440 3463492 4329365 6061111 6926984 8658730 12122222 17317460 24244444 30305555 34634920 48488888 60611110 121222220 242444440