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34356031 = 172532243
BaseRepresentation
bin1000001100001…
…1101100111111
32101122110121121
42003003230333
532243343111
63224211411
7565010233
oct203035477
971573547
1034356031
1118436216
12b609b67
13716b918
1447c45c3
153039871
hex20c3b3f

34356031 has 12 divisors (see below), whose sum is σ = 37201032. Its totient is φ = 31710848.

The previous prime is 34356001. The next prime is 34356067. The reversal of 34356031 is 13065343.

It is not a de Polignac number, because 34356031 - 223 = 25967423 is a prime.

It is a super-3 number, since 3×343560313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 34355987 and 34356005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34356001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14196 + ... + 16438.

It is an arithmetic number, because the mean of its divisors is an integer number (3100086).

Almost surely, 234356031 is an apocalyptic number.

34356031 is a deficient number, since it is larger than the sum of its proper divisors (2845001).

34356031 is a wasteful number, since it uses less digits than its factorization.

34356031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 34356031 is about 5861.4017947928. The cubic root of 34356031 is about 325.0880424194.

The spelling of 34356031 in words is "thirty-four million, three hundred fifty-six thousand, thirty-one".

Divisors: 1 17 53 289 901 2243 15317 38131 118879 648227 2020943 34356031