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241233040 = 2456149433
BaseRepresentation
bin11100110000011…
…10110010010000
3121210220220112001
432120032302100
5443223424130
635534243344
75656306216
oct1630166220
9553826461
10241233040
11114195a54
1268956554
133ac93159
1424076cb6
15162a16ca
hexe60ec90

241233040 has 40 divisors (see below), whose sum is σ = 570072888. Its totient is φ = 94909440.

The previous prime is 241233019. The next prime is 241233061. The reversal of 241233040 is 40332142.

It is an interprime number because it is at equal distance from previous prime (241233019) and next prime (241233061).

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 238517136 = 1648^2 + 15444^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 241232999 and 241233017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19837 + ... + 29596.

Almost surely, 2241233040 is an apocalyptic number.

241233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241233040 is an abundant number, since it is smaller than the sum of its proper divisors (328839848).

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

241233040 is a wasteful number, since it uses less digits than its factorization.

241233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49507 (or 49501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 241233040 is about 15531.6785956960. The cubic root of 241233040 is about 622.5089454261.

Adding to 241233040 its reverse (40332142), we get a palindrome (281565182).

The spelling of 241233040 in words is "two hundred forty-one million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 49433 98866 197732 247165 395464 494330 790928 988660 1977320 3015413 3954640 6030826 12061652 15077065 24123304 30154130 48246608 60308260 120616520 241233040