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34895340 = 2233564621
BaseRepresentation
bin1000010100011…
…1010111101100
32102122212102000
42011013113230
532413122330
63243532300
7602414454
oct205072754
972585360
1034895340
1118774427
12b82a090
1372ca23c
1448c4d64
1530e4560
hex21475ec

34895340 has 48 divisors (see below), whose sum is σ = 108564960. Its totient is φ = 9305280.

The previous prime is 34895321. The next prime is 34895351. The reversal of 34895340 is 4359843.

34895340 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 34895295 and 34895304.

It is an unprimeable number.

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, 31771 + ... + 32850.

It is an arithmetic number, because the mean of its divisors is an integer number (2261770).

Almost surely, 234895340 is an apocalyptic number.

34895340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34895340 is an abundant number, since it is smaller than the sum of its proper divisors (73669620).

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

34895340 is a wasteful number, since it uses less digits than its factorization.

34895340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64639 (or 64631 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34895340 is about 5907.2277762077. The cubic root of 34895340 is about 326.7802580576.

The spelling of 34895340 in words is "thirty-four million, eight hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 64621 129242 193863 258484 323105 387726 581589 646210 775452 969315 1163178 1292420 1744767 1938630 2326356 2907945 3489534 3877260 5815890 6979068 8723835 11631780 17447670 34895340