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242020350 = 2325211133761
BaseRepresentation
bin11100110110011…
…10111111111110
3121212101220111200
432123032333332
5443424122400
640003200330
75666065455
oct1633167776
9555356450
10242020350
11114683520
12690760a6
133b1aa610
14241ddb9c
15163a9b00
hexe6ceffe

242020350 has 144 divisors (see below), whose sum is σ = 764107344. Its totient is φ = 54144000.

The previous prime is 242020333. The next prime is 242020393. The reversal of 242020350 is 53020242.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62470 + ... + 66230.

It is an arithmetic number, because the mean of its divisors is an integer number (5306301).

Almost surely, 2242020350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242020350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382053672).

242020350 is an abundant number, since it is smaller than the sum of its proper divisors (522086994).

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

242020350 is a wasteful number, since it uses less digits than its factorization.

242020350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 242020350 is about 15557.0032461268. The cubic root of 242020350 is about 623.1854355344.

Adding to 242020350 its reverse (53020242), we get a palindrome (295040592).

The spelling of 242020350 in words is "two hundred forty-two million, twenty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 25 26 30 33 39 45 50 55 65 66 75 78 90 99 110 117 130 143 150 165 195 198 225 234 275 286 325 330 390 429 450 495 550 585 650 715 825 858 975 990 1170 1287 1430 1650 1950 2145 2475 2574 2925 3575 3761 4290 4950 5850 6435 7150 7522 10725 11283 12870 18805 21450 22566 32175 33849 37610 41371 48893 56415 64350 67698 82742 94025 97786 112830 124113 146679 169245 188050 206855 244465 248226 282075 293358 338490 372339 413710 440037 488930 537823 564150 620565 733395 744678 846225 880074 1034275 1075646 1222325 1241130 1466790 1613469 1692450 1861695 2068550 2200185 2444650 2689115 3102825 3226938 3666975 3723390 4400370 4840407 5378230 6205650 7333950 8067345 9308475 9680814 11000925 13445575 16134690 18616950 22001850 24202035 26891150 40336725 48404070 80673450 121010175 242020350