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3431142312 = 2331337833581
BaseRepresentation
bin1100110010000011…
…0001001110101000
322212010022002101220
43030200301032220
524011333023222
61324245142040
7151012141233
oct31440611650
98763262356
103431142312
111500877004
127b90ba920
13428b0aa30
1424799641a
15151359b5c
hexcc8313a8

3431142312 has 128 divisors (see below), whose sum is σ = 9604344960. Its totient is φ = 1014543360.

The previous prime is 3431142311. The next prime is 3431142343. The reversal of 3431142312 is 2132411343.

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 not an unprimeable number, because it can be changed into a prime (3431142311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956362 + ... + 959942.

It is an arithmetic number, because the mean of its divisors is an integer number (75033945).

Almost surely, 23431142312 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 3431142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802172480).

3431142312 is an abundant number, since it is smaller than the sum of its proper divisors (6173202648).

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

3431142312 is a wasteful number, since it uses less digits than its factorization.

3431142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3719 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3431142312 is about 58575.9533597192. The cubic root of 3431142312 is about 1508.2716818962.

Adding to 3431142312 its reverse (2132411343), we get a palindrome (5563553655).

The spelling of 3431142312 in words is "three billion, four hundred thirty-one million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 83 104 111 148 156 166 222 249 296 312 332 444 481 498 664 888 962 996 1079 1443 1924 1992 2158 2886 3071 3237 3581 3848 4316 5772 6142 6474 7162 8632 9213 10743 11544 12284 12948 14324 18426 21486 24568 25896 28648 36852 39923 42972 46553 73704 79846 85944 93106 119769 132497 139659 159692 186212 239538 264994 279318 297223 319384 372424 397491 479076 529988 558636 594446 794982 891669 958152 1059976 1117272 1188892 1589964 1722461 1783338 2377784 3179928 3444922 3566676 3863899 5167383 6889844 7133352 7727798 10334766 10997251 11591697 13779688 15455596 20669532 21994502 23183394 30911192 32991753 41339064 43989004 46366788 65983506 87978008 92733576 131967012 142964263 263934024 285928526 428892789 571857052 857785578 1143714104 1715571156 3431142312