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3422412312 = 23311431032927
BaseRepresentation
bin1100101111111101…
…1101111000011000
322211111212120002120
43023333131320120
524002114143222
61323334101240
7150545011314
oct31377357030
98744776076
103422412312
1114a6954030
127b61aa820
13427072257
14246762b44
151506d315c
hexcbfdde18

3422412312 has 128 divisors (see below), whose sum is σ = 9646940160. Its totient is φ = 1002798720.

The previous prime is 3422412281. The next prime is 3422412313. The reversal of 3422412312 is 2132142243.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422412313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167793 + ... + 1170719.

It is an arithmetic number, because the mean of its divisors is an integer number (75366720).

Almost surely, 23422412312 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 3422412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823470080).

3422412312 is an abundant number, since it is smaller than the sum of its proper divisors (6224527848).

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

3422412312 is a wasteful number, since it uses less digits than its factorization.

3422412312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3089 counting only the distinct ones).

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

The square root of 3422412312 is about 58501.3872656025. The cubic root of 3422412312 is about 1506.9914090605.

Adding to 3422412312 its reverse (2132142243), we get a palindrome (5554554555).

The spelling of 3422412312 in words is "three billion, four hundred twenty-two million, four hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 103 129 132 172 206 258 264 309 344 412 473 516 618 824 946 1032 1133 1236 1419 1892 2266 2472 2838 2927 3399 3784 4429 4532 5676 5854 6798 8781 8858 9064 11352 11708 13287 13596 17562 17716 23416 26574 27192 32197 35124 35432 48719 53148 64394 70248 96591 97438 106296 125861 128788 146157 193182 194876 251722 257576 292314 301481 377583 386364 389752 503444 584628 602962 755166 772728 904443 1006888 1169256 1205924 1384471 1510332 1808886 2411848 2768942 3020664 3316291 3617772 4153413 5537884 6632582 7235544 8306826 9948873 11075768 12963683 13265164 16613652 19897746 25927366 26530328 33227304 38891049 39795492 51854732 77782098 79590984 103709464 142600513 155564196 285201026 311128392 427801539 570402052 855603078 1140804104 1711206156 3422412312