Search a number
-
+
242363136 = 2834143179
BaseRepresentation
bin11100111001000…
…10101100000000
3121220001022201110
432130202230000
5444021110021
640014403320
76002024031
oct1634425400
9556038643
10242363136
11114898014
1269200540
133b29a652
142428ca88
1516426476
hexe722b00

242363136 has 144 divisors (see below), whose sum is σ = 679916160. Its totient is φ = 76554240.

The previous prime is 242363129. The next prime is 242363137. The reversal of 242363136 is 631363242.

242363136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

242363136 is a nontrivial binomial coefficient, being equal to C(22017, 2).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242363137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1353895 + ... + 1354073.

It is an arithmetic number, because the mean of its divisors is an integer number (4721640).

Almost surely, 2242363136 is an apocalyptic number.

242363136 is the 22016-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339958080).

242363136 is an abundant number, since it is smaller than the sum of its proper divisors (437553024).

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

242363136 is a wasteful number, since it uses less digits than its factorization.

242363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 242363136 is about 15568.0164439790. The cubic root of 242363136 is about 623.4795133790.

It can be divided in two parts, 24236 and 3136, that added together give a palindrome (27372).

The spelling of 242363136 in words is "two hundred forty-two million, three hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 64 82 86 96 123 128 129 164 172 179 192 246 256 258 328 344 358 384 492 516 537 656 688 716 768 984 1032 1074 1312 1376 1432 1763 1968 2064 2148 2624 2752 2864 3526 3936 4128 4296 5248 5289 5504 5728 7052 7339 7697 7872 8256 8592 10496 10578 11008 11456 14104 14678 15394 15744 16512 17184 21156 22017 22912 23091 28208 29356 30788 31488 33024 34368 42312 44034 45824 46182 56416 58712 61576 68736 84624 88068 92364 112832 117424 123152 137472 169248 176136 184728 225664 234848 246304 315577 338496 352272 369456 451328 469696 492608 631154 676992 704544 738912 939392 946731 985216 1262308 1353984 1409088 1477824 1878784 1893462 1970432 2524616 2818176 2955648 3786924 5049232 5636352 5911296 7573848 10098464 15147696 20196928 30295392 40393856 60590784 80787712 121181568 242363136