Search a number
-
+
34014300 = 22352113381
BaseRepresentation
bin1000000111000…
…0010001011100
32101000002211220
42001300101130
532201424200
63213013340
7562055025
oct201602134
971002756
1034014300
11182224a1
12b484250
13707c208
144735c4c
152ebd4a0
hex207045c

34014300 has 36 divisors (see below), whose sum is σ = 98415576. Its totient is φ = 9070400.

The previous prime is 34014289. The next prime is 34014301. The reversal of 34014300 is 341043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34014300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56391 + ... + 56990.

It is an arithmetic number, because the mean of its divisors is an integer number (2733766).

Almost surely, 234014300 is an apocalyptic number.

34014300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34014300 is an abundant number, since it is smaller than the sum of its proper divisors (64401276).

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

34014300 is a wasteful number, since it uses less digits than its factorization.

34014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113398 (or 113391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34014300 is about 5832.1779808233. The cubic root of 34014300 is about 324.0065918488.

Adding to 34014300 its reverse (341043), we get a palindrome (34355343).

The spelling of 34014300 in words is "thirty-four million, fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 113381 226762 340143 453524 566905 680286 1133810 1360572 1700715 2267620 2834525 3401430 5669050 6802860 8503575 11338100 17007150 34014300