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3198132 = 22327437
BaseRepresentation
bin1100001100110010110100
320000111000100
430030302310
51304320012
6152314100
736120000
oct14146264
96014010
103198132
111894893
1210a2930
1387c8b2
145d3700
154328dc
hex30ccb4

3198132 has 90 divisors (see below), whose sum is σ = 9685858. Its totient is φ = 889056.

The previous prime is 3198131. The next prime is 3198133. The reversal of 3198132 is 2318913.

It is an interprime number because it is at equal distance from previous prime (3198131) and next prime (3198133).

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 86436 = 1764^2 + 294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3198096 and 3198105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3198131) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86418 + ... + 86454.

Almost surely, 23198132 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 3198132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842929).

3198132 is an abundant number, since it is smaller than the sum of its proper divisors (6487726).

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

3198132 is a wasteful number, since it uses less digits than its factorization.

3198132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 3198132 is about 1788.3321839077. The cubic root of 3198132 is about 147.3325803191.

It can be divided in two parts, 3 and 198132, that added together give a triangular number (198135 = T629).

The spelling of 3198132 in words is "three million, one hundred ninety-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 63 74 84 98 111 126 147 148 196 222 252 259 294 333 343 441 444 518 588 666 686 777 882 1029 1036 1332 1372 1554 1764 1813 2058 2331 2401 3087 3108 3626 4116 4662 4802 5439 6174 7203 7252 9324 9604 10878 12348 12691 14406 16317 21609 21756 25382 28812 32634 38073 43218 50764 65268 76146 86436 88837 114219 152292 177674 228438 266511 355348 456876 533022 799533 1066044 1599066 3198132