Search a number
-
+
2999412 = 22321321729
BaseRepresentation
bin1011011100010001110100
312122101102100
423130101310
51231440122
6144142100
734331433
oct13342164
95571370
102999412
111769559
121007930
13810300
1458111a
153e3aac
hex2dc474

2999412 has 108 divisors (see below), whose sum is σ = 8992620. Its totient is φ = 838656.

The previous prime is 2999411. The next prime is 2999417. The reversal of 2999412 is 2149992.

2999412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 2842596 = 396^2 + 1686^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (2999411) 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 35 ways as a sum of consecutive naturals, for example, 103414 + ... + 103442.

It is an arithmetic number, because the mean of its divisors is an integer number (83265).

22999412 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 2999412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496310).

2999412 is an abundant number, since it is smaller than the sum of its proper divisors (5993208).

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

2999412 is a wasteful number, since it uses less digits than its factorization.

2999412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 2999412 is about 1731.8810582716. The cubic root of 2999412 is about 144.2155337179.

The spelling of 2999412 in words is "two million, nine hundred ninety-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 29 34 36 39 51 52 58 68 78 87 102 116 117 153 156 169 174 204 221 234 261 306 338 348 377 442 468 493 507 522 612 663 676 754 884 986 1014 1044 1131 1326 1479 1508 1521 1972 1989 2028 2262 2652 2873 2958 3042 3393 3978 4437 4524 4901 5746 5916 6084 6409 6786 7956 8619 8874 9802 11492 12818 13572 14703 17238 17748 19227 19604 25636 25857 29406 34476 38454 44109 51714 57681 58812 76908 83317 88218 103428 115362 166634 176436 230724 249951 333268 499902 749853 999804 1499706 2999412