Search a number
-
+
34203300 = 22352234957
BaseRepresentation
bin1000001001111…
…0011010100100
32101100201002220
42002132122210
532224001200
63221032340
7563503035
oct202363244
971321086
1034203300
111834149a
12b5556b0
137117251
144784a8c
1530094a0
hex209e6a4

34203300 has 72 divisors (see below), whose sum is σ = 103285056. Its totient is φ = 8722560.

The previous prime is 34203293. The next prime is 34203317. The reversal of 34203300 is 330243.

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 34203300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4422 + ... + 9378.

Almost surely, 234203300 is an apocalyptic number.

34203300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51642528).

34203300 is an abundant number, since it is smaller than the sum of its proper divisors (69081756).

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

34203300 is a wasteful number, since it uses less digits than its factorization.

34203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 34203300 is about 5848.3587441264. The cubic root of 34203300 is about 324.6055965163.

Adding to 34203300 its reverse (330243), we get a palindrome (34533543).

The spelling of 34203300 in words is "thirty-four million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 4957 6900 9914 14871 19828 24785 29742 49570 59484 74355 99140 114011 123925 148710 228022 247850 297420 342033 371775 456044 495700 570055 684066 743550 1140110 1368132 1487100 1710165 2280220 2850275 3420330 5700550 6840660 8550825 11401100 17101650 34203300