Search a number
-
+
3441441304 = 2372109239337
BaseRepresentation
bin1100110100100000…
…0011101000011000
322212211200022222001
43031020003220120
524022002110204
61325254010344
7151165524400
oct31510035030
98784608861
103441441304
111506670874
128006469b4
1342aca5702
142490b7800
151521e14a4
hexcd203a18

3441441304 has 96 divisors (see below), whose sum is σ = 7629336000. Its totient is φ = 1450939392.

The previous prime is 3441441293. The next prime is 3441441307. The reversal of 3441441304 is 4031441443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441441307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10211824 + ... + 10212160.

It is an arithmetic number, because the mean of its divisors is an integer number (79472250).

Almost surely, 23441441304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441441304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814668000).

3441441304 is an abundant number, since it is smaller than the sum of its proper divisors (4187894696).

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

3441441304 is a wasteful number, since it uses less digits than its factorization.

3441441304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 3441441304 is about 58663.7989223337. The cubic root of 3441441304 is about 1509.7792616237.

Adding to 3441441304 its reverse (4031441443), we get a palindrome (7472882747).

The spelling of 3441441304 in words is "three billion, four hundred forty-one million, four hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 109 196 218 239 337 392 436 478 674 763 872 956 1348 1526 1673 1912 2359 2696 3052 3346 4718 5341 6104 6692 9436 10682 11711 13384 16513 18872 21364 23422 26051 33026 36733 42728 46844 52102 66052 73466 80543 93688 104204 132104 146932 161086 182357 208408 257131 293864 322172 364714 514262 563801 644344 729428 1028524 1127602 1276499 1458856 1799917 2057048 2255204 2552998 3599834 3946607 4510408 5105996 7199668 7893214 8779187 10211992 14399336 15786428 17558374 31572856 35116748 61454309 70233496 122908618 245817236 430180163 491634472 860360326 1720720652 3441441304