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3342132 = 22321743127
BaseRepresentation
bin1100101111111100110100
320021210112200
430233330310
51323422012
6155344500
740256553
oct14577464
96253480
103342132
111982aa2
121152130
139002c1
1462dd9a
154603dc
hex32ff34

3342132 has 72 divisors (see below), whose sum is σ = 9225216. Its totient is φ = 1016064.

The previous prime is 3342113. The next prime is 3342133. The reversal of 3342132 is 2312433.

It is a super-2 number, since 2×33421322 = 22339692610848, which contains 22 as substring.

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

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 (3342133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26253 + ... + 26379.

It is an arithmetic number, because the mean of its divisors is an integer number (128128).

Almost surely, 23342132 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 3342132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612608).

3342132 is an abundant number, since it is smaller than the sum of its proper divisors (5883084).

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

3342132 is a wasteful number, since it uses less digits than its factorization.

3342132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 3342132 is about 1828.1498844460. The cubic root of 3342132 is about 149.5114773648.

Adding to 3342132 its reverse (2312433), we get a palindrome (5654565).

It can be divided in two parts, 3342 and 132, that multiplied together give a palindrome (441144).

The spelling of 3342132 in words is "three million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 127 129 153 172 204 254 258 306 381 387 508 516 612 731 762 774 1143 1462 1524 1548 2159 2193 2286 2924 4318 4386 4572 5461 6477 6579 8636 8772 10922 12954 13158 16383 19431 21844 25908 26316 32766 38862 49149 65532 77724 92837 98298 185674 196596 278511 371348 557022 835533 1114044 1671066 3342132