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3126004 = 227241389
BaseRepresentation
bin1011111011001011110100
312212211001221
423323023310
51300013004
6151000124
735366500
oct13731364
95784057
103126004
111845682
121069044
13855b0b
145b5300
1541b354
hex2fb2f4

3126004 has 36 divisors (see below), whose sum is σ = 6535620. Its totient is φ = 1303680.

The previous prime is 3126001. The next prime is 3126007. The reversal of 3126004 is 4006213.

It is an interprime number because it is at equal distance from previous prime (3126001) and next prime (3126007).

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 2729104 = 630^2 + 1652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126001) 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, 7842 + ... + 8230.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 23126004 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 3126004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267810).

3126004 is an abundant number, since it is smaller than the sum of its proper divisors (3409616).

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

3126004 is a wasteful number, since it uses less digits than its factorization.

3126004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3126004 is about 1768.0509042446. The cubic root of 3126004 is about 146.2165423745.

The spelling of 3126004 in words is "three million, one hundred twenty-six thousand, four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 389 574 778 1148 1556 2009 2723 4018 5446 8036 10892 15949 19061 31898 38122 63796 76244 111643 223286 446572 781501 1563002 3126004