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242029440 = 2732542019
BaseRepresentation
bin11100110110100…
…01001110000000
3121212102100222100
432123101032000
5443424420230
640003310400
75666134122
oct1633211600
9555370870
10242029440
1111468a334
126907b400
133b1b17b3
1424203212
15163ac660
hexe6d1380

242029440 has 96 divisors (see below), whose sum is σ = 835777800. Its totient is φ = 64539648.

The previous prime is 242029433. The next prime is 242029457. The reversal of 242029440 is 44920242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15250 + ... + 26769.

Almost surely, 2242029440 is an apocalyptic number.

242029440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242029440 is an abundant number, since it is smaller than the sum of its proper divisors (593748360).

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

242029440 is a wasteful number, since it uses less digits than its factorization.

242029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42044 (or 42029 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242029440 is about 15557.2953947658. The cubic root of 242029440 is about 623.1932374743.

Adding to 242029440 its reverse (44920242), we get a palindrome (286949682).

The spelling of 242029440 in words is "two hundred forty-two million, twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 42019 84038 126057 168076 210095 252114 336152 378171 420190 504228 630285 672304 756342 840380 1008456 1260570 1344608 1512684 1680760 1890855 2016912 2521140 2689216 3025368 3361520 3781710 4033824 5042280 5378432 6050736 6723040 7563420 8067648 10084560 12101472 13446080 15126840 16135296 20169120 24202944 26892160 30253680 40338240 48405888 60507360 80676480 121014720 242029440