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242020352 = 212723367
BaseRepresentation
bin11100110110011…
…11000000000000
3121212101220111202
432123033000000
5443424122402
640003200332
75666065460
oct1633170000
9555356452
10242020352
11114683522
12690760a8
133b1aa612
14241ddba0
15163a9b02
hexe6cf000

242020352 has 104 divisors (see below), whose sum is σ = 578743296. Its totient is φ = 98942976.

The previous prime is 242020333. The next prime is 242020393. The reversal of 242020352 is 253020242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659273 + ... + 659639.

Almost surely, 2242020352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289371648).

242020352 is an abundant number, since it is smaller than the sum of its proper divisors (336722944).

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

242020352 is an equidigital number, since it uses as much as digits as its factorization.

242020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 242020352 is about 15557.0033104065. The cubic root of 242020352 is about 623.1854372510.

Adding to 242020352 its reverse (253020242), we get a palindrome (495040594).

The spelling of 242020352 in words is "two hundred forty-two million, twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 367 368 448 512 644 734 736 896 1024 1288 1468 1472 1792 2048 2569 2576 2936 2944 3584 4096 5138 5152 5872 5888 7168 8441 10276 10304 11744 11776 14336 16882 20552 20608 23488 23552 28672 33764 41104 41216 46976 47104 59087 67528 82208 82432 93952 94208 118174 135056 164416 164864 187904 236348 270112 328832 329728 375808 472696 540224 657664 659456 751616 945392 1080448 1315328 1503232 1890784 2160896 2630656 3781568 4321792 5261312 7563136 8643584 10522624 15126272 17287168 30252544 34574336 60505088 121010176 242020352