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34355123 = 1123251541
BaseRepresentation
bin1000001100001…
…1011110110011
32101122102100222
42003003132303
532243330443
63224203255
7565004465
oct203033663
971572328
1034355123
1118435570
12b60952b
13716b39a
1447c4135
153039468
hex20c37b3

34355123 has 16 divisors (see below), whose sum is σ = 39336192. Its totient is φ = 29700000.

The previous prime is 34355117. The next prime is 34355149. The reversal of 34355123 is 32155343.

34355123 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 34355123 - 220 = 33306547 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34355092 and 34355101.

It is not an unprimeable number, because it can be changed into a prime (34351123) 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, 63233 + ... + 63773.

It is an arithmetic number, because the mean of its divisors is an integer number (2458512).

Almost surely, 234355123 is an apocalyptic number.

34355123 is a deficient number, since it is larger than the sum of its proper divisors (4981069).

34355123 is a wasteful number, since it uses less digits than its factorization.

34355123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its digits is 5400, while the sum is 26.

The square root of 34355123 is about 5861.3243384068. The cubic root of 34355123 is about 325.0851784628.

It can be divided in two parts, 3435 and 5123, that added together give a palindrome (8558).

The spelling of 34355123 in words is "thirty-four million, three hundred fifty-five thousand, one hundred twenty-three".

Divisors: 1 11 23 251 253 541 2761 5773 5951 12443 63503 135791 136873 1493701 3123193 34355123