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242736966 = 2336137333
BaseRepresentation
bin11100111011111…
…01111101000110
3121220202022112000
432131331331012
5444120040331
640030410130
76005141643
oct1635757506
9556668460
10242736966
1111502296a
1269360946
133b39b854
1424348dca
151649c0e6
hexe77df46

242736966 has 32 divisors (see below), whose sum is σ = 540369120. Its totient is φ = 80769312.

The previous prime is 242736961. The next prime is 242736973. The reversal of 242736966 is 669637242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242736961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29436 + ... + 36768.

It is an arithmetic number, because the mean of its divisors is an integer number (16886535).

Almost surely, 2242736966 is an apocalyptic number.

242736966 is an abundant number, since it is smaller than the sum of its proper divisors (297632154).

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

242736966 is a wasteful number, since it uses less digits than its factorization.

242736966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957 (or 7951 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 242736966 is about 15580.0181643026. The cubic root of 242736966 is about 623.7999081087.

It can be divided in two parts, 2427 and 36966, that added together give a palindrome (39393).

The spelling of 242736966 in words is "two hundred forty-two million, seven hundred thirty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 613 1226 1839 3678 5517 7333 11034 14666 16551 21999 33102 43998 65997 131994 197991 395982 4495129 8990258 13485387 26970774 40456161 80912322 121368483 242736966