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242011440 = 243251130557
BaseRepresentation
bin11100110110011…
…00110100110000
3121212101110021200
432123030310300
5443423331230
640003051200
75666030466
oct1633146460
9555343250
10242011440
11114677860
1269070b00
133b1a6548
14241da836
15163a7160
hexe6ccd30

242011440 has 120 divisors (see below), whose sum is σ = 886670928. Its totient is φ = 58667520.

The previous prime is 242011433. The next prime is 242011447. The reversal of 242011440 is 44110242.

242011440 is a `hidden beast` number, since 24 + 201 + 1 + 440 = 666.

242011440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242011433) and next prime (242011447).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242011447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7359 + ... + 23198.

Almost surely, 2242011440 is an apocalyptic number.

242011440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242011440 is an abundant number, since it is smaller than the sum of its proper divisors (644659488).

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

242011440 is a wasteful number, since it uses less digits than its factorization.

242011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30587 (or 30578 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242011440 is about 15556.7168772849. The cubic root of 242011440 is about 623.1777878987.

Adding to 242011440 its reverse (44110242), we get a palindrome (286121682).

The spelling of 242011440 in words is "two hundred forty-two million, eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 30557 61114 91671 122228 152785 183342 244456 275013 305570 336127 366684 458355 488912 550026 611140 672254 733368 916710 1008381 1100052 1222280 1344508 1375065 1466736 1680635 1833420 2016762 2200104 2444560 2689016 2750130 3025143 3361270 3666840 4033524 4400208 5041905 5378032 5500260 6050286 6722540 7333680 8067048 10083810 11000520 12100572 13445080 15125715 16134096 20167620 22001040 24201144 26890160 30251430 40335240 48402288 60502860 80670480 121005720 242011440