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35030144 = 27299437
BaseRepresentation
bin1000010110100…
…0010010000000
32102220201022202
42011220102000
532431431034
63250452332
7603515462
oct205502200
972821282
1035030144
1118856736
12b8940a8
1373466c6
14491c132
15311e47e
hex2168480

35030144 has 32 divisors (see below), whose sum is σ = 72200700. Its totient is φ = 16909312.

The previous prime is 35030141. The next prime is 35030153. The reversal of 35030144 is 44103053.

It can be written as a sum of positive squares in 2 ways, for example, as 34951744 + 78400 = 5912^2 + 280^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×350301442 = 2454221977321472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35030141) by changing a digit.

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, 1007 + ... + 8430.

Almost surely, 235030144 is an apocalyptic number.

It is an amenable number.

35030144 is an abundant number, since it is smaller than the sum of its proper divisors (37170556).

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

35030144 is an equidigital number, since it uses as much as digits as its factorization.

35030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9480 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 35030144 is about 5918.6268677794. The cubic root of 35030144 is about 327.2005117130.

Adding to 35030144 its reverse (44103053), we get a palindrome (79133197).

The spelling of 35030144 in words is "thirty-five million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 9437 18874 37748 75496 150992 273673 301984 547346 603968 1094692 1207936 2189384 4378768 8757536 17515072 35030144