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241516340 = 225131934813
BaseRepresentation
bin11100110010100…
…11111100110100
3121211110022010122
432121103330310
5443312010330
635544311112
75661566162
oct1631237464
9554408118
10241516340
1111436988a
1268a72498
133b0620a0
142410c232
151630a5e5
hexe653f34

241516340 has 48 divisors (see below), whose sum is σ = 549142608. Its totient is φ = 88694784.

The previous prime is 241516309. The next prime is 241516349. The reversal of 241516340 is 43615142.

It can be written as a sum of positive squares in 8 ways, for example, as 17355556 + 224160784 = 4166^2 + 14972^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241516349) 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, 47774 + ... + 52586.

It is an arithmetic number, because the mean of its divisors is an integer number (11440471).

Almost surely, 2241516340 is an apocalyptic number.

241516340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241516340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274571304).

241516340 is an abundant number, since it is smaller than the sum of its proper divisors (307626268).

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

241516340 is a wasteful number, since it uses less digits than its factorization.

241516340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 241516340 is about 15540.7959899099. The cubic root of 241516340 is about 622.7525380844.

The spelling of 241516340 in words is "two hundred forty-one million, five hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2509 3860 4813 5018 9626 10036 12545 19252 24065 25090 48130 50180 62569 96260 125138 250276 312845 625690 928909 1251380 1857818 3715636 4644545 9289090 12075817 18578180 24151634 48303268 60379085 120758170 241516340