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242352936 = 23327677177
BaseRepresentation
bin11100111001000…
…00001100101000
3121220000210201200
432130200030220
5444020243221
640014244200
76001652220
oct1634401450
9556023650
10242352936
11114890391
12691b6660
133b295b07
1424289080
1516423426
hexe720328

242352936 has 96 divisors (see below), whose sum is σ = 761442240. Its totient is φ = 68200704.

The previous prime is 242352917. The next prime is 242352949. The reversal of 242352936 is 639253242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 242352936.

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 23 ways as a sum of consecutive naturals, for example, 30180 + ... + 37356.

It is an arithmetic number, because the mean of its divisors is an integer number (7931690).

Almost surely, 2242352936 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 242352936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380721120).

242352936 is an abundant number, since it is smaller than the sum of its proper divisors (519089304).

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

242352936 is a wasteful number, since it uses less digits than its factorization.

242352936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7263 (or 7256 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 242352936 is about 15567.6888458114. The cubic root of 242352936 is about 623.4707667514.

The spelling of 242352936 in words is "two hundred forty-two million, three hundred fifty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1608 1876 2412 2814 3752 4221 4824 5628 7177 8442 11256 14354 16884 21531 28708 33768 43062 50239 57416 64593 86124 100478 129186 150717 172248 200956 258372 301434 401912 452151 480859 516744 602868 904302 961718 1205736 1442577 1808604 1923436 2885154 3366013 3617208 3846872 4327731 5770308 6732026 8655462 10098039 11540616 13464052 17310924 20196078 26928104 30294117 34621848 40392156 60588234 80784312 121176468 242352936