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35023014 = 23213971543
BaseRepresentation
bin1000010110011…
…0100010100110
32102220100112200
42011212202212
532431214024
63250355330
7603455625
oct205464246
972810480
1035023014
1118851344
12b88bb46
1373433a0
1449196bc
15311c2c9
hex21668a6

35023014 has 48 divisors (see below), whose sum is σ = 82616352. Its totient is φ = 10658304.

The previous prime is 35023007. The next prime is 35023033. The reversal of 35023014 is 41032053.

It is a super-2 number, since 2×350230142 = 2453223019288392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 21927 + ... + 23469.

It is an arithmetic number, because the mean of its divisors is an integer number (1721174).

Almost surely, 235023014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35023014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41308176).

35023014 is an abundant number, since it is smaller than the sum of its proper divisors (47593338).

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

35023014 is a wasteful number, since it uses less digits than its factorization.

35023014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 35023014 is about 5918.0245014701. The cubic root of 35023014 is about 327.1783108532.

Adding to 35023014 its reverse (41032053), we get a palindrome (76055067).

The spelling of 35023014 in words is "thirty-five million, twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1543 1746 2522 3086 3783 4629 7566 9258 11349 13887 20059 22698 27774 40118 60177 120354 149671 180531 299342 361062 449013 898026 1347039 1945723 2694078 3891446 5837169 11674338 17511507 35023014