Search a number
-
+
34319000 = 235334319
BaseRepresentation
bin1000001011101…
…0101010011000
32101120120211002
42002322222120
532241202000
63223324132
7564464252
oct202725230
971516732
1034319000
1118410411
12b5b0648
137157b01
1447b4cd2
15302d8d5
hex20baa98

34319000 has 32 divisors (see below), whose sum is σ = 80308800. Its totient is φ = 13727200.

The previous prime is 34318993. The next prime is 34319003. The reversal of 34319000 is 91343.

It is a super-2 number, since 2×343190002 = 2355587522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34319003) 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 7 ways as a sum of consecutive naturals, for example, 16160 + ... + 18159.

It is an arithmetic number, because the mean of its divisors is an integer number (2509650).

Almost surely, 234319000 is an apocalyptic number.

It is an amenable number.

34319000 is an abundant number, since it is smaller than the sum of its proper divisors (45989800).

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

34319000 is a wasteful number, since it uses less digits than its factorization.

34319000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34340 (or 34326 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 34319000 is about 5858.2420571363. The cubic root of 34319000 is about 324.9712006039.

The spelling of 34319000 in words is "thirty-four million, three hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 34319 68638 137276 171595 274552 343190 686380 857975 1372760 1715950 3431900 4289875 6863800 8579750 17159500 34319000