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34966906 = 2132575233
BaseRepresentation
bin1000010101100…
…0110101111010
32102210111120121
42011120311322
532422420111
63245243454
7603133222
oct205306572
972714517
1034966906
1118813177
12b86358a
1373239a0
144903082
15310a871
hex2158d7a

34966906 has 16 divisors (see below), whose sum is σ = 56715624. Its totient is φ = 16072704.

The previous prime is 34966903. The next prime is 34966949. The reversal of 34966906 is 60966943.

34966906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34916281 + 50625 = 5909^2 + 225^2 .

It is a super-3 number, since 3×349669063 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34966903) 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 7 ways as a sum of consecutive naturals, for example, 4066 + ... + 9298.

Almost surely, 234966906 is an apocalyptic number.

34966906 is a deficient number, since it is larger than the sum of its proper divisors (21748718).

34966906 is a wasteful number, since it uses less digits than its factorization.

34966906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505.

The product of its (nonzero) digits is 209952, while the sum is 43.

The square root of 34966906 is about 5913.2821681364. The cubic root of 34966906 is about 327.0035007278.

The spelling of 34966906 in words is "thirty-four million, nine hundred sixty-six thousand, nine hundred six".

Divisors: 1 2 13 26 257 514 3341 5233 6682 10466 68029 136058 1344881 2689762 17483453 34966906