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3129912 = 2332291499
BaseRepresentation
bin1011111100001000111000
312220000102200
423330020320
51300124122
6151030200
735414052
oct13741070
95800380
103129912
111848605
12106b360
13857826
145b68d2
1541c5ac
hex2fc238

3129912 has 48 divisors (see below), whose sum is σ = 8775000. Its totient is φ = 1006656.

The previous prime is 3129911. The next prime is 3129913. The reversal of 3129912 is 2199213.

3129912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3129911) and next prime (3129913).

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 (3129911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1339 + ... + 2837.

Almost surely, 23129912 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 3129912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387500).

3129912 is an abundant number, since it is smaller than the sum of its proper divisors (5645088).

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

3129912 is a wasteful number, since it uses less digits than its factorization.

3129912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1533 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 3129912 is about 1769.1557308502. The cubic root of 3129912 is about 146.2774482779.

The spelling of 3129912 in words is "three million, one hundred twenty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1499 2088 2998 4497 5996 8994 11992 13491 17988 26982 35976 43471 53964 86942 107928 130413 173884 260826 347768 391239 521652 782478 1043304 1564956 3129912