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34561140 = 2235576019
BaseRepresentation
bin1000001111010…
…1110001110100
32102000212222020
42003311301310
532321424030
63232433140
7566523225
oct203656164
972025866
1034561140
1118566329
12b6a87b0
1372110a3
14483924c
15307a510
hex20f5c74

34561140 has 24 divisors (see below), whose sum is σ = 96771360. Its totient is φ = 9216288.

The previous prime is 34561091. The next prime is 34561169. The reversal of 34561140 is 4116543.

34561140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×345611403 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34561140.

It is a congruent number.

It is an unprimeable number.

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, 287950 + ... + 288069.

It is an arithmetic number, because the mean of its divisors is an integer number (4032140).

Almost surely, 234561140 is an apocalyptic number.

34561140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34561140 is an abundant number, since it is smaller than the sum of its proper divisors (62210220).

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

34561140 is a wasteful number, since it uses less digits than its factorization.

34561140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576031 (or 576029 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 34561140 is about 5878.8723408491. The cubic root of 34561140 is about 325.7336954753.

Adding to 34561140 its reverse (4116543), we get a palindrome (38677683).

The spelling of 34561140 in words is "thirty-four million, five hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 576019 1152038 1728057 2304076 2880095 3456114 5760190 6912228 8640285 11520380 17280570 34561140