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3410111412 = 22321922571021
BaseRepresentation
bin1100101101000010…
…0010101110110100
322210122201121102200
43023100202232310
523440442031122
61322214304500
7150335316531
oct31320425664
98718647380
103410111412
11149aa121a4
127b2058130
13424656306
14244c7dd88
1514e5a35ac
hexcb422bb4

3410111412 has 108 divisors (see below), whose sum is σ = 9141910596. Its totient is φ = 1071636480.

The previous prime is 3410111387. The next prime is 3410111449. The reversal of 3410111412 is 2141110143.

It can be written as a sum of positive squares in 2 ways, for example, as 2858613156 + 551498256 = 53466^2 + 23484^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3339462 + ... + 3340482.

Almost surely, 23410111412 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 3410111412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570955298).

3410111412 is an abundant number, since it is smaller than the sum of its proper divisors (5731799184).

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

3410111412 is a wasteful number, since it uses less digits than its factorization.

3410111412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 3410111412 is about 58396.1592230174. The cubic root of 3410111412 is about 1505.1837558142.

Adding to 3410111412 its reverse (2141110143), we get a palindrome (5551221555).

The spelling of 3410111412 in words is "three billion, four hundred ten million, one hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 257 342 361 514 684 722 771 1021 1028 1083 1444 1542 2042 2166 2313 3063 3084 3249 4084 4332 4626 4883 6126 6498 9189 9252 9766 12252 12996 14649 18378 19399 19532 29298 36756 38798 43947 58197 58596 77596 87894 92777 116394 174591 175788 185554 232788 262397 278331 349182 368581 371108 524794 556662 698364 737162 787191 834993 1049588 1105743 1113324 1474324 1574382 1669986 2211486 2361573 3148764 3317229 3339972 4422972 4723146 4985543 6634458 9446292 9971086 13268916 14956629 19942172 29913258 44869887 59826516 89739774 94725317 179479548 189450634 284175951 378901268 568351902 852527853 1136703804 1705055706 3410111412