Search a number
-
+
2345113000 = 235319123427
BaseRepresentation
bin1000101111000111…
…1001010110101000
320001102202002021001
42023301321112220
514300322104000
61024411524344
7112054063066
oct21361712650
96042662231
102345113000
11aa383411a
125554596b4
132b4b0c039
14183653036
15dad3346a
hex8bc795a8

2345113000 has 64 divisors (see below), whose sum is σ = 5776430400. Its totient is φ = 888667200.

The previous prime is 2345112997. The next prime is 2345113009. The reversal of 2345113000 is 3115432.

2345113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2345113009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42714 + ... + 80713.

It is an arithmetic number, because the mean of its divisors is an integer number (90256725).

Almost surely, 22345113000 is an apocalyptic number.

2345113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345113000 is an abundant number, since it is smaller than the sum of its proper divisors (3431317400).

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

2345113000 is a wasteful number, since it uses less digits than its factorization.

2345113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123467 (or 123453 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2345113000 is about 48426.3667850480. The cubic root of 2345113000 is about 1328.5806555581.

Adding to 2345113000 its reverse (3115432), we get a palindrome (2348228432).

The spelling of 2345113000 in words is "two billion, three hundred forty-five million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 123427 246854 493708 617135 987416 1234270 2345113 2468540 3085675 4690226 4937080 6171350 9380452 11725565 12342700 15428375 18760904 23451130 24685400 30856750 46902260 58627825 61713500 93804520 117255650 123427000 234511300 293139125 469022600 586278250 1172556500 2345113000