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3412344012 = 2237117946747
BaseRepresentation
bin1100101101100100…
…0011110011001100
322210210221000222120
43023121003303030
523442030002022
61322334212540
7150363305550
oct31331036314
98723830876
103412344012
1114a11a7620
127b2954150
13424c5858c
142452a1860
1514e894d5c
hexcb643ccc

3412344012 has 96 divisors (see below), whose sum is σ = 10052689920. Its totient is φ = 875085120.

The previous prime is 3412343953. The next prime is 3412344029. The reversal of 3412344012 is 2104432143.

3412344012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34123440122 = 23288183312464512288, which contains 22 as substring.

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, 49623 + ... + 96369.

It is an arithmetic number, because the mean of its divisors is an integer number (104715520).

Almost surely, 23412344012 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 3412344012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026344960).

3412344012 is an abundant number, since it is smaller than the sum of its proper divisors (6640345908).

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

3412344012 is a wasteful number, since it uses less digits than its factorization.

3412344012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46851 (or 46849 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3412344012 is about 58415.2720784556. The cubic root of 3412344012 is about 1505.5121654317.

Adding to 3412344012 its reverse (2104432143), we get a palindrome (5516776155).

The spelling of 3412344012 in words is "three billion, four hundred twelve million, three hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 79 84 132 154 158 231 237 308 316 462 474 553 869 924 948 1106 1659 1738 2212 2607 3318 3476 5214 6083 6636 10428 12166 18249 24332 36498 46747 72996 93494 140241 186988 280482 327229 514217 560964 654458 981687 1028434 1308916 1542651 1963374 2056868 3085302 3599519 3693013 3926748 6170604 7199038 7386026 10798557 11079039 14398076 14772052 21597114 22158078 25851091 40623143 43194228 44316156 51702182 77553273 81246286 103404364 121869429 155106546 162492572 243738858 284362001 310213092 487477716 568724002 853086003 1137448004 1706172006 3412344012