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34019793 = 326415897
BaseRepresentation
bin1000000111000…
…1100111010001
32101000101101100
42001301213101
532202113133
63213055013
7562110033
oct201614721
971011340
1034019793
1118226635
12b487469
137081872
144737c53
152ebee13
hex20719d1

34019793 has 12 divisors (see below), whose sum is σ = 49224708. Its totient is φ = 22640640.

The previous prime is 34019779. The next prime is 34019807. The reversal of 34019793 is 39791043.

It is an interprime number because it is at equal distance from previous prime (34019779) and next prime (34019807).

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 3017169 = 5568^2 + 1737^2 .

It is not a de Polignac number, because 34019793 - 29 = 34019281 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34019723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2821 + ... + 8717.

It is an arithmetic number, because the mean of its divisors is an integer number (4102059).

Almost surely, 234019793 is an apocalyptic number.

It is an amenable number.

34019793 is a deficient number, since it is larger than the sum of its proper divisors (15204915).

34019793 is a wasteful number, since it uses less digits than its factorization.

34019793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6544 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 34019793 is about 5832.6488836548. The cubic root of 34019793 is about 324.0240322823.

The spelling of 34019793 in words is "thirty-four million, nineteen thousand, seven hundred ninety-three".

Divisors: 1 3 9 641 1923 5769 5897 17691 53073 3779977 11339931 34019793