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242885376 = 2832271389
BaseRepresentation
bin11100111101000…
…10001100000000
3121221000212002200
432132202030000
5444134313001
640033513200
76006330426
oct1636421400
9557025080
10242885376
11115114418
1269412800
133b421276
1424387116
15164cb086
hexe7a2300

242885376 has 108 divisors (see below), whose sum is σ = 704689440. Its totient is φ = 80455680.

The previous prime is 242885369. The next prime is 242885413. The reversal of 242885376 is 673588242.

It is a super-2 number, since 2×2428853762 = 117986611749322752, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 624190 + ... + 624578.

Almost surely, 2242885376 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 242885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352344720).

242885376 is an abundant number, since it is smaller than the sum of its proper divisors (461804064).

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

242885376 is a wasteful number, since it uses less digits than its factorization.

242885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 242885376 is about 15584.7802679409. The cubic root of 242885376 is about 623.9270131596.

The spelling of 242885376 in words is "two hundred forty-two million, eight hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 271 288 384 389 542 576 768 778 813 1084 1152 1167 1556 1626 2168 2304 2334 2439 3112 3252 3501 4336 4668 4878 6224 6504 7002 8672 9336 9756 12448 13008 14004 17344 18672 19512 24896 26016 28008 34688 37344 39024 49792 52032 56016 69376 74688 78048 99584 104064 105419 112032 149376 156096 208128 210838 224064 298752 312192 316257 421676 448128 624384 632514 843352 896256 948771 1265028 1686704 1897542 2530056 3373408 3795084 5060112 6746816 7590168 10120224 13493632 15180336 20240448 26987264 30360672 40480896 60721344 80961792 121442688 242885376