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3443114412 = 2233194673593
BaseRepresentation
bin1100110100111001…
…1100000110101100
322212221211100001000
43031032130012230
524022414130122
61325353520300
7151215663303
oct31516340654
98787740030
103443114412
111507603901
12801113090
1342b44010a
142493d143a
151524220ac
hexcd39c1ac

3443114412 has 96 divisors (see below), whose sum is σ = 9419155200. Its totient is φ = 1084669056.

The previous prime is 3443114401. The next prime is 3443114443. The reversal of 3443114412 is 2144113443.

3443114412 is a `hidden beast` number, since 344 + 311 + 4 + 4 + 1 + 2 = 666.

3443114412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956488 + ... + 960080.

It is an arithmetic number, because the mean of its divisors is an integer number (98116200).

Almost surely, 23443114412 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 3443114412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709577600).

3443114412 is an abundant number, since it is smaller than the sum of its proper divisors (5976040788).

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

3443114412 is a wasteful number, since it uses less digits than its factorization.

3443114412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4084 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3443114412 is about 58678.0573298060. The cubic root of 3443114412 is about 1510.0238892175.

Adding to 3443114412 its reverse (2144113443), we get a palindrome (5587227855).

It can be divided in two parts, 3443 and 114412, that added together give a triangular number (117855 = T485).

The spelling of 3443114412 in words is "three billion, four hundred forty-three million, one hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 467 513 684 934 1026 1401 1868 2052 2802 3593 4203 5604 7186 8406 8873 10779 12609 14372 16812 17746 21558 25218 26619 32337 35492 43116 50436 53238 64674 68267 79857 97011 106476 129348 136534 159714 194022 204801 239571 273068 319428 388044 409602 479142 614403 819204 958284 1228806 1677931 1843209 2457612 3355862 3686418 5033793 6711724 7372836 10067586 15101379 20135172 30202758 31880689 45304137 60405516 63761378 90608274 95642067 127522756 181216548 191284134 286926201 382568268 573852402 860778603 1147704804 1721557206 3443114412