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35040681 = 3413107311
BaseRepresentation
bin1000010110101…
…0110110101001
32102221020210000
42011222312221
532432300211
63251013213
7603561264
oct205526651
972836700
1035040681
1118863645
12b89a209
13734b440
144921cdb
153122656
hex216ada9

35040681 has 40 divisors (see below), whose sum is σ = 57081024. Its totient is φ = 21293280.

The previous prime is 35040679. The next prime is 35040713. The reversal of 35040681 is 18604053.

35040681 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 35040681 - 21 = 35040679 is a prime.

It is a super-2 number, since 2×350406812 = 2455698649887522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35040601) 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 39 ways as a sum of consecutive naturals, for example, 112516 + ... + 112826.

Almost surely, 235040681 is an apocalyptic number.

It is an amenable number.

35040681 is a deficient number, since it is larger than the sum of its proper divisors (22040343).

35040681 is a wasteful number, since it uses less digits than its factorization.

35040681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 35040681 is about 5919.5169566444. The cubic root of 35040681 is about 327.2333155192.

It can be divided in two parts, 35040 and 681, that added together give a square (35721 = 1892).

The spelling of 35040681 in words is "thirty-five million, forty thousand, six hundred eighty-one".

Divisors: 1 3 9 13 27 39 81 107 117 311 321 351 933 963 1053 1391 2799 2889 4043 4173 8397 8667 12129 12519 25191 33277 36387 37557 99831 109161 112671 299493 327483 432601 898479 1297803 2695437 3893409 11680227 35040681