Search a number
-
+
34504140 = 223511232273
BaseRepresentation
bin1000001110011…
…1110111001100
32101220222210010
42003213313030
532313113030
63231313220
7566165106
oct203476714
971828703
1034504140
1118527520
12b67b810
1371c1168
144822576
1530686b0
hex20e7dcc

34504140 has 96 divisors (see below), whose sum is σ = 110025216. Its totient is φ = 7997440.

The previous prime is 34504139. The next prime is 34504153. The reversal of 34504140 is 4140543.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14044 + ... + 16316.

It is an arithmetic number, because the mean of its divisors is an integer number (1146096).

Almost surely, 234504140 is an apocalyptic number.

34504140 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 34504140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55012608).

34504140 is an abundant number, since it is smaller than the sum of its proper divisors (75521076).

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

34504140 is a wasteful number, since it uses less digits than its factorization.

34504140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 34504140 is about 5874.0224718671. The cubic root of 34504140 is about 325.5545247156.

Adding to 34504140 its reverse (4140543), we get a palindrome (38644683).

The spelling of 34504140 in words is "thirty-four million, five hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2273 2530 3036 3795 4546 5060 6819 7590 9092 11365 13638 15180 22730 25003 27276 34095 45460 50006 52279 68190 75009 100012 104558 125015 136380 150018 156837 209116 250030 261395 300036 313674 375045 500060 522790 575069 627348 750090 784185 1045580 1150138 1500180 1568370 1725207 2300276 2875345 3136740 3450414 5750690 6900828 8626035 11501380 17252070 34504140