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3412132112 = 24292614157
BaseRepresentation
bin1100101101100001…
…0000000100010000
322210210112021022102
43023120100010100
523442001211422
61322325455532
7150361434014
oct31330200420
98723467272
103412132112
1114a10723a4
127b28715a8
13424bb2cac
14245248544
1514e852192
hexcb610110

3412132112 has 60 divisors (see below), whose sum is σ = 6960749796. Its totient is φ = 1619842560.

The previous prime is 3412132091. The next prime is 3412132117. The reversal of 3412132112 is 2112312143.

It can be written as a sum of positive squares in 6 ways, for example, as 298045696 + 3114086416 = 17264^2 + 55804^2 .

It is not an unprimeable number, because it can be changed into a prime (3412132117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 818738 + ... + 822894.

Almost surely, 23412132112 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 3412132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480374898).

3412132112 is an abundant number, since it is smaller than the sum of its proper divisors (3548617684).

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

3412132112 is a wasteful number, since it uses less digits than its factorization.

3412132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4249 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 3412132112 is about 58413.4583122759. The cubic root of 3412132112 is about 1505.4810016500.

Adding to 3412132112 its reverse (2112312143), we get a palindrome (5524444255).

The spelling of 3412132112 in words is "three billion, four hundred twelve million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 61 116 122 232 244 464 488 841 976 1682 1769 3364 3538 4157 6728 7076 8314 13456 14152 16628 28304 33256 51301 66512 102602 120553 205204 241106 253577 410408 482212 507154 820816 964424 1014308 1928848 2028616 3496037 4057232 6992074 7353733 13984148 14707466 27968296 29414932 55936592 58829864 117659728 213258257 426516514 853033028 1706066056 3412132112