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3834675 = 3352131923
BaseRepresentation
bin1110101000001100110011
321012211012000
432220030303
51440202200
6214105043
744410545
oct16501463
97184160
103834675
11218a059
12134b183
13a43550
1471b695
1550b300
hex3a8333

3834675 has 96 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 1710720.

The previous prime is 3834653. The next prime is 3834703. The reversal of 3834675 is 5764383.

It is a happy number.

3834675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3834675 - 27 = 3834547 is a prime.

Its product of digits (60480) is a multiple of the sum of its prime divisors (63).

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 95 ways as a sum of consecutive naturals, for example, 166714 + ... + 166736.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

Almost surely, 23834675 is an apocalyptic number.

3834675 is an abundant number, since it is smaller than the sum of its proper divisors (4498125).

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

3834675 is a wasteful number, since it uses less digits than its factorization.

3834675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3834675 is about 1958.2326215238. The cubic root of 3834675 is about 156.5222878906.

The spelling of 3834675 in words is "three million, eight hundred thirty-four thousand, six hundred seventy-five".

Divisors: 1 3 5 9 13 15 19 23 25 27 39 45 57 65 69 75 95 115 117 135 171 195 207 225 247 285 299 325 345 351 437 475 513 575 585 621 675 741 855 897 975 1035 1235 1311 1425 1495 1725 1755 2185 2223 2565 2691 2925 3105 3705 3933 4275 4485 5175 5681 6175 6555 6669 7475 8073 8775 10925 11115 11799 12825 13455 15525 17043 18525 19665 22425 28405 32775 33345 40365 51129 55575 58995 67275 85215 98325 142025 153387 166725 201825 255645 294975 426075 766935 1278225 3834675