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242041332 = 223132336659
BaseRepresentation
bin11100110110101…
…00000111110100
3121212102222021210
432123110013310
5443430310312
640003441420
75666213601
oct1633240764
9555388253
10242041332
11114698265
1269086270
133b1b7030
14242076a8
15163b0e3c
hexe6d41f4

242041332 has 48 divisors (see below), whose sum is σ = 610908480. Its totient is φ = 74143488.

The previous prime is 242041307. The next prime is 242041339. The reversal of 242041332 is 233140242.

It is a junction number, because it is equal to n+sod(n) for n = 242041299 and 242041308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242041339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33019 + ... + 39677.

It is an arithmetic number, because the mean of its divisors is an integer number (12727260).

Almost surely, 2242041332 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 242041332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305454240).

242041332 is an abundant number, since it is smaller than the sum of its proper divisors (368867148).

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

242041332 is a wasteful number, since it uses less digits than its factorization.

242041332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 242041332 is about 15557.6775901804. The cubic root of 242041332 is about 623.2034440737.

Adding to 242041332 its reverse (233140242), we get a palindrome (475181574).

The spelling of 242041332 in words is "two hundred forty-two million, forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 233 466 699 932 1398 2796 3029 6058 6659 9087 12116 13318 18174 19977 26636 36348 39954 79908 86567 173134 259701 346268 519402 1038804 1551547 3103094 4654641 6206188 9309282 18618564 20170111 40340222 60510333 80680444 121020666 242041332