Search a number
-
+
4412341104 = 2433117211723
BaseRepresentation
bin1000001101111111…
…01111101101110000
3102101111121011002220
410012333233231300
533014024403404
62005455441040
7214225165143
oct40677575560
912344534086
104412341104
1119647191a6
12a31826180
13554194332
142dc00c05a
151ac5754d9
hex106fefb70

4412341104 has 80 divisors (see below), whose sum is σ = 11779912704. Its totient is φ = 1421683200.

The previous prime is 4412341099. The next prime is 4412341123. The reversal of 4412341104 is 4011432144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2559987 + ... + 2561709.

Almost surely, 24412341104 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 4412341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889956352).

4412341104 is an abundant number, since it is smaller than the sum of its proper divisors (7367571600).

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

4412341104 is a wasteful number, since it uses less digits than its factorization.

4412341104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4412341104 is about 66425.4552411950. The cubic root of 4412341104 is about 1640.1731306417.

Adding to 4412341104 its reverse (4011432144), we get a palindrome (8423773248).

The spelling of 4412341104 in words is "four billion, four hundred twelve million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1721 1723 3442 3446 5163 5169 6884 6892 10326 10338 13768 13784 20652 20676 27536 27568 41304 41352 53351 53413 82608 82704 106702 106826 160053 160239 213404 213652 320106 320478 426808 427304 640212 640956 853616 854608 1280424 1281912 2560848 2563824 2965283 5930566 8895849 11861132 17791698 23722264 35583396 47444528 71166792 91923773 142333584 183847546 275771319 367695092 551542638 735390184 1103085276 1470780368 2206170552 4412341104