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241614340 = 225111139719
BaseRepresentation
bin11100110011010…
…11111000000100
3121211122021120021
432121223320010
5443323124330
635550344524
75662454662
oct1631537004
9554567507
10241614340
11114426480
1268abb144
133b097886
1424135c32
151632967a
hexe66be04

241614340 has 48 divisors (see below), whose sum is σ = 558472320. Its totient is φ = 87073280.

The previous prime is 241614337. The next prime is 241614361. The reversal of 241614340 is 43416142.

241614340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20001 + ... + 29719.

It is an arithmetic number, because the mean of its divisors is an integer number (11634840).

Almost surely, 2241614340 is an apocalyptic number.

241614340 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 241614340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279236160).

241614340 is an abundant number, since it is smaller than the sum of its proper divisors (316857980).

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

241614340 is a wasteful number, since it uses less digits than its factorization.

241614340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9852 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 241614340 is about 15543.9486617783. The cubic root of 241614340 is about 622.8367580533.

The spelling of 241614340 in words is "two hundred forty-one million, six hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 9719 12430 19438 24860 38876 48595 97190 106909 194380 213818 427636 534545 1069090 1098247 2138180 2196494 4392988 5491235 10982470 12080717 21964940 24161434 48322868 60403585 120807170 241614340