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3149216 = 25717827
BaseRepresentation
bin1100000000110110100000
312220222220122
430000312200
51301233331
6151255412
735524250
oct14006640
95828818
103149216
111861064
12107a568
13863555
145bd960
1542317b
hex300da0

3149216 has 48 divisors (see below), whose sum is σ = 7511616. Its totient is φ = 1268736.

The previous prime is 3149203. The next prime is 3149221. The reversal of 3149216 is 6129413.

It is a super-2 number, since 2×31492162 = 19835122829312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3395 + ... + 4221.

It is an arithmetic number, because the mean of its divisors is an integer number (156492).

Almost surely, 23149216 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 3149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755808).

3149216 is an abundant number, since it is smaller than the sum of its proper divisors (4362400).

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

3149216 is a wasteful number, since it uses less digits than its factorization.

3149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 853 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 3149216 is about 1774.6030542068. The cubic root of 3149216 is about 146.5775583611.

The spelling of 3149216 in words is "three million, one hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 827 952 1654 1904 3308 3808 5789 6616 11578 13232 14059 23156 26464 28118 46312 56236 92624 98413 112472 185248 196826 224944 393652 449888 787304 1574608 3149216