Search a number
-
+
34827912 = 23327193637
BaseRepresentation
bin1000010011011…
…0111010001000
32102112102220200
42010312322020
532403443122
63242252200
7602014050
oct204667210
972472820
1034827912
11187287a9
12b7b7060
1372a5642
1448a8560
1530ce5ac
hex2136e88

34827912 has 96 divisors (see below), whose sum is σ = 113505600. Its totient is φ = 9424512.

The previous prime is 34827907. The next prime is 34827937. The reversal of 34827912 is 21972843.

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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7758 + ... + 11394.

It is an arithmetic number, because the mean of its divisors is an integer number (1182350).

Almost surely, 234827912 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 34827912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56752800).

34827912 is an abundant number, since it is smaller than the sum of its proper divisors (78677688).

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

34827912 is a wasteful number, since it uses less digits than its factorization.

34827912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3668 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34827912 is about 5901.5177708789. The cubic root of 34827912 is about 326.5696440078.

The spelling of 34827912 in words is "thirty-four million, eight hundred twenty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 3637 4788 7274 9576 10911 14548 21822 25459 29096 32733 43644 50918 65466 69103 76377 87288 101836 130932 138206 152754 203672 207309 229131 261864 276412 305508 414618 458262 483721 552824 611016 621927 829236 916524 967442 1243854 1451163 1658472 1833048 1934884 2487708 2902326 3869768 4353489 4975416 5804652 8706978 11609304 17413956 34827912