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34828008 = 23373103193
BaseRepresentation
bin1000010011011…
…0111011101000
32102112110001020
42010312323220
532403444013
63242252440
7602014245
oct204667350
972473036
1034828008
1118728886
12b7b7120
1372a56b7
1448a85cc
1530ce623
hex2136ee8

34828008 has 64 divisors (see below), whose sum is σ = 89581440. Its totient is φ = 11280384.

The previous prime is 34827997. The next prime is 34828009. The reversal of 34828008 is 80082843.

34828008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34828008.

It is not an unprimeable number, because it can be changed into a prime (34828009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180360 + ... + 180552.

It is an arithmetic number, because the mean of its divisors is an integer number (1399710).

Almost surely, 234828008 is an apocalyptic number.

It is an amenable number.

34828008 is an abundant number, since it is smaller than the sum of its proper divisors (54753432).

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

34828008 is a wasteful number, since it uses less digits than its factorization.

34828008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 34828008 is about 5901.5259043742. The cubic root of 34828008 is about 326.5699440608.

The spelling of 34828008 in words is "thirty-four million, eight hundred twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 73 103 146 193 206 219 292 309 386 412 438 579 584 618 772 824 876 1158 1236 1544 1752 2316 2472 4632 7519 14089 15038 19879 22557 28178 30076 39758 42267 45114 56356 59637 60152 79516 84534 90228 112712 119274 159032 169068 180456 238548 338136 477096 1451167 2902334 4353501 5804668 8707002 11609336 17414004 34828008