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34640133 = 3118312647
BaseRepresentation
bin1000010000100…
…1000100000101
32102011220022220
42010021010011
532331441013
63234242553
7600302433
oct204110405
972156286
1034640133
111860a710
12b726459
13723b028
144859d53
153093b23
hex2109105

34640133 has 16 divisors (see below), whose sum is σ = 50996736. Its totient is φ = 20739440.

The previous prime is 34640117. The next prime is 34640147. The reversal of 34640133 is 33104643.

It is a cyclic number.

It is not a de Polignac number, because 34640133 - 24 = 34640117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34640153) 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 15 ways as a sum of consecutive naturals, for example, 3585 + ... + 9062.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296).

Almost surely, 234640133 is an apocalyptic number.

34640133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34640133 is a deficient number, since it is larger than the sum of its proper divisors (16356603).

34640133 is a wasteful number, since it uses less digits than its factorization.

34640133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 34640133 is about 5885.5868866240. The cubic root of 34640133 is about 325.9816724739.

Adding to 34640133 its reverse (33104643), we get a palindrome (67744776).

The spelling of 34640133 in words is "thirty-four million, six hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 11 33 83 249 913 2739 12647 37941 139117 417351 1049701 3149103 11546711 34640133