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34352958 = 2343472833
BaseRepresentation
bin1000001100001…
…0111100111110
32101122022101210
42003002330332
532243243313
63224145250
7564665253
oct203027476
971568353
1034352958
1118433982
12b608226
13716a3c3
1447c342a
1530389c3
hex20c2f3e

34352958 has 32 divisors (see below), whose sum is σ = 71824896. Its totient is φ = 10942848.

The previous prime is 34352951. The next prime is 34352963. The reversal of 34352958 is 85925343.

34352958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34352951) 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 15 ways as a sum of consecutive naturals, for example, 10710 + ... + 13542.

It is an arithmetic number, because the mean of its divisors is an integer number (2244528).

Almost surely, 234352958 is an apocalyptic number.

34352958 is an abundant number, since it is smaller than the sum of its proper divisors (37471938).

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

34352958 is a wasteful number, since it uses less digits than its factorization.

34352958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928.

The product of its digits is 129600, while the sum is 39.

The square root of 34352958 is about 5861.1396502728. The cubic root of 34352958 is about 325.0783495521.

It can be divided in two parts, 343 and 52958, that added together give a triangular number (53301 = T326).

The spelling of 34352958 in words is "thirty-four million, three hundred fifty-two thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 43 47 86 94 129 141 258 282 2021 2833 4042 5666 6063 8499 12126 16998 121819 133151 243638 266302 365457 399453 730914 798906 5725493 11450986 17176479 34352958