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34002331 = 1121511861
BaseRepresentation
bin1000000110110…
…1010110011011
32100222111102121
42001231112123
532201033311
63212442111
7562005106
oct201552633
970874377
1034002331
1118214500
12b479337
13707692c
14473173d
152eb9b71
hex206d59b

34002331 has 12 divisors (see below), whose sum is σ = 37642192. Its totient is φ = 30690000.

The previous prime is 34002323. The next prime is 34002337. The reversal of 34002331 is 13320043.

34002331 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 34002331 - 23 = 34002323 is a prime.

It is a super-2 number, since 2×340023312 = 2312317026867122, which contains 22 as substring.

It is a Duffinian number.

34002331 is a modest number, since divided by 2331 gives 34 as remainder.

It is not an unprimeable number, because it can be changed into a prime (34002337) 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 11 ways as a sum of consecutive naturals, for example, 17341 + ... + 19201.

Almost surely, 234002331 is an apocalyptic number.

34002331 is a deficient number, since it is larger than the sum of its proper divisors (3639861).

34002331 is a wasteful number, since it uses less digits than its factorization.

34002331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 34002331 is about 5831.1517730205. The cubic root of 34002331 is about 323.9685834244.

Adding to 34002331 its reverse (13320043), we get a palindrome (47322374).

The spelling of 34002331 in words is "thirty-four million, two thousand, three hundred thirty-one".

Divisors: 1 11 121 151 1661 1861 18271 20471 225181 281011 3091121 34002331