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3135412 = 227217941
BaseRepresentation
bin1011111101011110110100
312220021222101
423331132310
51300313122
6151111444
735436100
oct13753664
95807871
103135412
111851755
121072584
1385a197
145b8900
1541e027
hex2fd7b4

3135412 has 36 divisors (see below), whose sum is σ = 6765444. Its totient is φ = 1263360.

The previous prime is 3135409. The next prime is 3135413. The reversal of 3135412 is 2145313.

It can be written as a sum of positive squares in 2 ways, for example, as 2202256 + 933156 = 1484^2 + 966^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3135412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135413) 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, 2862 + ... + 3802.

It is an arithmetic number, because the mean of its divisors is an integer number (187929).

Almost surely, 23135412 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 3135412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382722).

3135412 is an abundant number, since it is smaller than the sum of its proper divisors (3630032).

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

3135412 is a wasteful number, since it uses less digits than its factorization.

3135412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 967 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 3135412 is about 1770.7094623342. The cubic root of 3135412 is about 146.3630795648.

Subtracting from 3135412 its reverse (2145313), we obtain a palindrome (990099).

The spelling of 3135412 in words is "three million, one hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 941 1666 1882 3332 3764 6587 13174 15997 26348 31994 46109 63988 92218 111979 184436 223958 447916 783853 1567706 3135412