Search a number
-
+
34024111000 = 2353112281191
BaseRepresentation
bin11111101011111111…
…101011101110011000
310020211012100220220021
4133223333223232120
51024140133023000
623344102440224
72313102112615
oct375377535630
9106735326807
1034024111000
111347a7a6200
126716733074
133292ca9179
14190aa7750c
15d4206311a
hex7ebfebb98

34024111000 has 96 divisors (see below), whose sum is σ = 87512574240. Its totient is φ = 12372360000.

The previous prime is 34024110937. The next prime is 34024111057. The reversal of 34024111000 is 11142043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19596 + ... + 261595.

It is an arithmetic number, because the mean of its divisors is an integer number (911589315).

Almost surely, 234024111000 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 34024111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43756287120).

34024111000 is an abundant number, since it is smaller than the sum of its proper divisors (53488463240).

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

34024111000 is a wasteful number, since it uses less digits than its factorization.

34024111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281234 (or 281209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 34024111000 its reverse (11142043), we get a palindrome (34035253043).

The spelling of 34024111000 in words is "thirty-four billion, twenty-four million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 281191 562382 1124764 1405955 2249528 2811910 3093101 5623820 6186202 7029775 11247640 12372404 14059550 15465505 24744808 28119100 30931010 34024111 35148875 56238200 61862020 68048222 70297750 77327525 123724040 136096444 140595500 154655050 170120555 272192888 281191000 309310100 340241110 386637625 618620200 680482220 773275250 850602775 1360964440 1546550500 1701205550 3093101000 3402411100 4253013875 6804822200 8506027750 17012055500 34024111000