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241013440 = 2656112347
BaseRepresentation
bin11100101110110…
…01001011000000
3121210111202021201
432113121023000
5443144412230
635525430544
75654403043
oct1627311300
9553452251
10241013440
11114055a68
126886b454
133ac17205
142401ac5a
151625b5ca
hexe5d92c0

241013440 has 56 divisors (see below), whose sum is σ = 583368912. Its totient is φ = 94817280.

The previous prime is 241013417. The next prime is 241013441. The reversal of 241013440 is 44310142.

It is not an unprimeable number, because it can be changed into a prime (241013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13347 + ... + 25693.

It is an arithmetic number, because the mean of its divisors is an integer number (10417302).

Almost surely, 2241013440 is an apocalyptic number.

241013440 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 241013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291684456).

241013440 is an abundant number, since it is smaller than the sum of its proper divisors (342355472).

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

241013440 is a wasteful number, since it uses less digits than its factorization.

241013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425 (or 12415 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 241013440 is about 15524.6075634781. The cubic root of 241013440 is about 622.3199933286.

Adding to 241013440 its reverse (44310142), we get a palindrome (285323582).

The spelling of 241013440 in words is "two hundred forty-one million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 12347 19520 24694 49388 61735 98776 123470 197552 246940 395104 493880 753167 790208 987760 1506334 1975520 3012668 3765835 3951040 6025336 7531670 12050672 15063340 24101344 30126680 48202688 60253360 120506720 241013440