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3128148 = 2232312803
BaseRepresentation
bin1011111011101101010100
312212221000100
423323231110
51300100043
6151014100
735405652
oct13735524
95787010
103128148
111847251
12106a330
13856a9a
145b5dd2
1541bcd3
hex2fbb54

3128148 has 36 divisors (see below), whose sum is σ = 8165248. Its totient is φ = 1008720.

The previous prime is 3128131. The next prime is 3128159. The reversal of 3128148 is 8418213.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×31281483 = 91829692872139133376, which contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286 + ... + 2517.

Almost surely, 23128148 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 3128148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082624).

3128148 is an abundant number, since it is smaller than the sum of its proper divisors (5037100).

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

3128148 is a wasteful number, since it uses less digits than its factorization.

3128148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2839 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 3128148 is about 1768.6571177026. The cubic root of 3128148 is about 146.2499627438.

It can be divided in two parts, 31281 and 48, that added together give a square (31329 = 1772).

The spelling of 3128148 in words is "three million, one hundred twenty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2803 5606 8409 11212 16818 25227 33636 50454 86893 100908 173786 260679 347572 521358 782037 1042716 1564074 3128148