Search a number
-
+
1918114344 = 233415119603
BaseRepresentation
bin111001001010100…
…0001101000101000
311221200021022020000
41302111001220220
512412014124334
6514155503000
765350463046
oct16225015050
94850238200
101918114344
118a47a8773
12456457a60
13247506903
14142a61396
15b35da299
hex72541a28

1918114344 has 80 divisors (see below), whose sum is σ = 5408351520. Its totient is φ = 635104800.

The previous prime is 1918114309. The next prime is 1918114349. The reversal of 1918114344 is 4434118191.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1918114299 and 1918114308.

It is not an unprimeable number, because it can be changed into a prime (1918114349) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88047 + ... + 107649.

It is an arithmetic number, because the mean of its divisors is an integer number (67604394).

Almost surely, 21918114344 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 1918114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704175760).

1918114344 is an abundant number, since it is smaller than the sum of its proper divisors (3490237176).

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

1918114344 is a wasteful number, since it uses less digits than its factorization.

1918114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19772 (or 19759 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1918114344 is about 43796.2823079768. The cubic root of 1918114344 is about 1242.4859821880.

The spelling of 1918114344 in words is "one billion, nine hundred eighteen million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 151 162 216 302 324 453 604 648 906 1208 1359 1812 2718 3624 4077 5436 8154 10872 12231 16308 19603 24462 32616 39206 48924 58809 78412 97848 117618 156824 176427 235236 352854 470472 529281 705708 1058562 1411416 1587843 2117124 2960053 3175686 4234248 5920106 6351372 8880159 11840212 12702744 17760318 23680424 26640477 35520636 53280954 71041272 79921431 106561908 159842862 213123816 239764293 319685724 479528586 639371448 959057172 1918114344