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3113234000 = 24532367679
BaseRepresentation
bin1011100110010000…
…0010111001010000
322000222002200011222
42321210002321100
522333441442000
61232531224212
7140102023652
oct27144027120
98028080158
103113234000
111358380868
1272a748068
133a7cac8c6
142176806d2
151334aea85
hexb9902e50

3113234000 has 80 divisors (see below), whose sum is σ = 7855211520. Its totient is φ = 1191132800.

The previous prime is 3113233979. The next prime is 3113234009. The reversal of 3113234000 is 4323113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 3113234000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113234009) 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 15 ways as a sum of consecutive naturals, for example, 12161 + ... + 79839.

It is an arithmetic number, because the mean of its divisors is an integer number (98190144).

Almost surely, 23113234000 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 3113234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927605760).

3113234000 is an abundant number, since it is smaller than the sum of its proper divisors (4741977520).

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

3113234000 is a wasteful number, since it uses less digits than its factorization.

3113234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67725 (or 67709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3113234000 is about 55796.3618885676. The cubic root of 3113234000 is about 1460.1716818190.

Adding to 3113234000 its reverse (4323113), we get a palindrome (3117557113).

The spelling of 3113234000 in words is "three billion, one hundred thirteen million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 67679 135358 270716 338395 541432 676790 1082864 1353580 1556617 1691975 2707160 3113234 3383950 5414320 6226468 6767900 7783085 8459875 12452936 13535800 15566170 16919750 24905872 27071600 31132340 33839500 38915425 62264680 67679000 77830850 124529360 135358000 155661700 194577125 311323400 389154250 622646800 778308500 1556617000 3113234000