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34695680 = 29513553
BaseRepresentation
bin1000010001011…
…0101000000000
32102021201112012
42010112220000
532340230210
63235352052
7600623405
oct204265000
972251465
1034695680
1118648418
12b752628
13725a3b6
1448722ac
1530a5305
hex2116a00

34695680 has 40 divisors (see below), whose sum is σ = 83194452. Its totient is φ = 13877248.

The previous prime is 34695679. The next prime is 34695697. The reversal of 34695680 is 8659643.

It can be written as a sum of positive squares in 2 ways, for example, as 34480384 + 215296 = 5872^2 + 464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4217 + ... + 9336.

Almost surely, 234695680 is an apocalyptic number.

It is an amenable number.

34695680 is an abundant number, since it is smaller than the sum of its proper divisors (48498772).

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

34695680 is an equidigital number, since it uses as much as digits as its factorization.

34695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13576 (or 13560 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 34695680 is about 5890.3038970837. The cubic root of 34695680 is about 326.1558214776.

The spelling of 34695680 in words is "thirty-four million, six hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 13553 27106 54212 67765 108424 135530 216848 271060 433696 542120 867392 1084240 1734784 2168480 3469568 4336960 6939136 8673920 17347840 34695680