Search a number
-
+
34299800 = 23521491151
BaseRepresentation
bin1000001011010…
…1111110011000
32101112121110222
42002311332120
532240043200
63223055212
7564354263
oct202657630
971477428
1034299800
11183a7a47
12b5a1508
13714c152
1447abcda
153027d85
hex20b5f98

34299800 has 48 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 13616000.

The previous prime is 34299781. The next prime is 34299803. The reversal of 34299800 is 899243.

34299800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×342998003 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34299803) 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 11 ways as a sum of consecutive naturals, for example, 29225 + ... + 30375.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 234299800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34299800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).

34299800 is an abundant number, since it is smaller than the sum of its proper divisors (46052200).

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

34299800 is a wasteful number, since it uses less digits than its factorization.

34299800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 34299800 is about 5856.6031110192. The cubic root of 34299800 is about 324.9105868430.

The spelling of 34299800 in words is "thirty-four million, two hundred ninety-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1151 1192 1490 2302 2980 3725 4604 5755 5960 7450 9208 11510 14900 23020 28775 29800 46040 57550 115100 171499 230200 342998 685996 857495 1371992 1714990 3429980 4287475 6859960 8574950 17149900 34299800