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241430440 = 2356035761
BaseRepresentation
bin11100110001111…
…10111110101000
3121211021221022011
432120332332220
5443301233230
635542405304
75661060556
oct1630767650
9554257264
10241430440
11114310299
1268a30834
133b031c64
14240c8bd6
15162dee2a
hexe63efa8

241430440 has 16 divisors (see below), whose sum is σ = 543218580. Its totient is φ = 96572160.

The previous prime is 241430437. The next prime is 241430461. The reversal of 241430440 is 44034142.

It can be written as a sum of positive squares in 2 ways, for example, as 224340484 + 17089956 = 14978^2 + 4134^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3017841 + ... + 3017920.

Almost surely, 2241430440 is an apocalyptic number.

241430440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241430440 is an abundant number, since it is smaller than the sum of its proper divisors (301788140).

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

241430440 is a wasteful number, since it uses less digits than its factorization.

241430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6035772 (or 6035768 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 241430440 is about 15538.0320504239. The cubic root of 241430440 is about 622.6786979646.

Adding to 241430440 its reverse (44034142), we get a palindrome (285464582).

The spelling of 241430440 in words is "two hundred forty-one million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 6035761 12071522 24143044 30178805 48286088 60357610 120715220 241430440