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34909648 = 2437109541
BaseRepresentation
bin1000010100101…
…0110111010000
32102200121000221
42011022313100
532414102043
63244122424
7602504254
oct205126720
972617027
1034909648
1118784154
12b836414
1373038c7
1448ca264
1530e88ed
hex214add0

34909648 has 40 divisors (see below), whose sum is σ = 70232360. Its totient is φ = 16796160.

The previous prime is 34909639. The next prime is 34909661. The reversal of 34909648 is 84690943.

It can be written as a sum of positive squares in 4 ways, for example, as 13454224 + 21455424 = 3668^2 + 4632^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 64258 + ... + 64798.

It is an arithmetic number, because the mean of its divisors is an integer number (1755809).

Almost surely, 234909648 is an apocalyptic number.

It is an amenable number.

34909648 is an abundant number, since it is smaller than the sum of its proper divisors (35322712).

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

34909648 is a wasteful number, since it uses less digits than its factorization.

34909648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 34909648 is about 5908.4387108609. The cubic root of 34909648 is about 326.8249147658.

The spelling of 34909648 in words is "thirty-four million, nine hundred nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 37 74 109 148 218 296 436 541 592 872 1082 1744 2164 4033 4328 8066 8656 16132 20017 32264 40034 58969 64528 80068 117938 160136 235876 320272 471752 943504 2181853 4363706 8727412 17454824 34909648