Search a number
-
+
2441344100 = 22521310717551
BaseRepresentation
bin1001000110000011…
…1111010001100100
320022010211010111212
42101200333101210
514444441002400
61042130250552
7114333040166
oct22140772144
96263733455
102441344100
111043090a58
12581726a58
132cba33210
14192342936
15e44e1335
hex9183f464

2441344100 has 72 divisors (see below), whose sum is σ = 5758881408. Its totient is φ = 892944000.

The previous prime is 2441344069. The next prime is 2441344121. The reversal of 2441344100 is 14431442.

It is a happy number.

It is a super-2 number, since 2×24413441002 = 11920322029209620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130325 + ... + 147875.

It is an arithmetic number, because the mean of its divisors is an integer number (79984464).

Almost surely, 22441344100 is an apocalyptic number.

2441344100 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 2441344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879440704).

2441344100 is an abundant number, since it is smaller than the sum of its proper divisors (3317537308).

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

2441344100 is a wasteful number, since it uses less digits than its factorization.

2441344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17685 (or 17678 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2441344100 is about 49409.9595223473. The cubic root of 2441344100 is about 1346.5102552004.

Adding to 2441344100 its reverse (14431442), we get a palindrome (2455775542).

The spelling of 2441344100 in words is "two billion, four hundred forty-one million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 107 130 214 260 325 428 535 650 1070 1300 1391 2140 2675 2782 5350 5564 6955 10700 13910 17551 27820 34775 35102 69550 70204 87755 139100 175510 228163 351020 438775 456326 877550 912652 1140815 1755100 1877957 2281630 3755914 4563260 5704075 7511828 9389785 11408150 18779570 22816300 24413441 37559140 46948925 48826882 93897850 97653764 122067205 187795700 244134410 488268820 610336025 1220672050 2441344100