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34317630 = 2325973931
BaseRepresentation
bin1000001011101…
…0010100111110
32101120111221100
42002322110332
532241131010
63223313530
7564460254
oct202722476
971514840
1034317630
111840a386
12b5ab8a6
1371572b9
1447b45d4
15302d2c0
hex20ba53e

34317630 has 48 divisors (see below), whose sum is σ = 90168624. Its totient is φ = 9054720.

The previous prime is 34317623. The next prime is 34317631. The reversal of 34317630 is 3671343.

It is a happy number.

34317630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34317594 and 34317603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34317631) 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 23 ways as a sum of consecutive naturals, for example, 6765 + ... + 10695.

It is an arithmetic number, because the mean of its divisors is an integer number (1878513).

Almost surely, 234317630 is an apocalyptic number.

34317630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34317630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45084312).

34317630 is an abundant number, since it is smaller than the sum of its proper divisors (55850994).

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

34317630 is a wasteful number, since it uses less digits than its factorization.

34317630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 34317630 is about 5858.1251266937. The cubic root of 34317630 is about 324.9668763086.

Adding to 34317630 its reverse (3671343), we get a palindrome (37988973).

It can be divided in two parts, 343176 and 30, that added together give a triangular number (343206 = T828).

The spelling of 34317630 in words is "thirty-four million, three hundred seventeen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 3931 4365 7862 8730 11793 19655 23586 35379 39310 58965 70758 117930 176895 353790 381307 762614 1143921 1906535 2287842 3431763 3813070 5719605 6863526 11439210 17158815 34317630