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242514504 = 23323368257
BaseRepresentation
bin11100111010001…
…11101001001000
3121220100000100200
432131013221020
5444040431004
640021532200
76003224241
oct1635075110
9556300320
10242514504
11114990811
1269274060
133b32150b
14242cbcc8
1516456239
hexe747a48

242514504 has 24 divisors (see below), whose sum is σ = 656810310. Its totient is φ = 80838144.

The previous prime is 242514491. The next prime is 242514509. The reversal of 242514504 is 405415242.

242514504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 240560100 + 1954404 = 15510^2 + 1398^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (242514509) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1684057 + ... + 1684200.

Almost surely, 2242514504 is an apocalyptic number.

242514504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242514504 is an abundant number, since it is smaller than the sum of its proper divisors (414295806).

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

242514504 is a wasteful number, since it uses less digits than its factorization.

242514504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368269 (or 3368262 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 242514504 is about 15572.8771908084. The cubic root of 242514504 is about 623.6092844986.

Adding to 242514504 its reverse (405415242), we get a palindrome (647929746).

The spelling of 242514504 in words is "two hundred forty-two million, five hundred fourteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3368257 6736514 10104771 13473028 20209542 26946056 30314313 40419084 60628626 80838168 121257252 242514504