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3114672 = 2431117347
BaseRepresentation
bin1011111000011010110000
312212020112020
423320122300
51244132142
6150431440
735321451
oct13703260
95766466
103114672
111838110
121062580
13850902
145b1128
15417cec
hex2f86b0

3114672 has 80 divisors (see below), whose sum is σ = 9320832. Its totient is φ = 885760.

The previous prime is 3114611. The next prime is 3114673. The reversal of 3114672 is 2764113.

3114672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3114673) 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 15 ways as a sum of consecutive naturals, for example, 8803 + ... + 9149.

Almost surely, 23114672 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 3114672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660416).

3114672 is an abundant number, since it is smaller than the sum of its proper divisors (6206160).

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

3114672 is a wasteful number, since it uses less digits than its factorization.

3114672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 3114672 is about 1764.8433358233. The cubic root of 3114672 is about 146.0396464545.

Adding to 3114672 its reverse (2764113), we get a palindrome (5878785).

The spelling of 3114672 in words is "three million, one hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 347 374 408 528 561 694 748 816 1041 1122 1388 1496 2082 2244 2776 2992 3817 4164 4488 5552 5899 7634 8328 8976 11451 11798 15268 16656 17697 22902 23596 30536 35394 45804 47192 61072 64889 70788 91608 94384 129778 141576 183216 194667 259556 283152 389334 519112 778668 1038224 1557336 3114672