Search a number
-
+
34320630 = 23529103383
BaseRepresentation
bin1000001011101…
…1000011110110
32101120200001110
42002323003312
532241230010
63223335450
7564502101
oct202730366
971520043
1034320630
1118411663
12b5b1586
137158786
1447b5738
15302e120
hex20bb0f6

34320630 has 64 divisors (see below), whose sum is σ = 86261760. Its totient is φ = 8727936.

The previous prime is 34320589. The next prime is 34320641. The reversal of 34320630 is 3602343.

34320630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34320597 and 34320606.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 89419 + ... + 89801.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 234320630 is an apocalyptic number.

34320630 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 34320630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43130880).

34320630 is an abundant number, since it is smaller than the sum of its proper divisors (51941130).

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

34320630 is a wasteful number, since it uses less digits than its factorization.

34320630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 34320630 is about 5858.3811757174. The cubic root of 34320630 is about 324.9763454184.

Adding to 34320630 its reverse (3602343), we get a palindrome (37922973).

The spelling of 34320630 in words is "thirty-four million, three hundred twenty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 103 145 174 206 290 309 383 435 515 618 766 870 1030 1149 1545 1915 2298 2987 3090 3830 5745 5974 8961 11107 11490 14935 17922 22214 29870 33321 39449 44805 55535 66642 78898 89610 111070 118347 166605 197245 236694 333210 394490 591735 1144021 1183470 2288042 3432063 5720105 6864126 11440210 17160315 34320630