Search a number
-
+
34363984188 = 22329647152623
BaseRepresentation
bin100000000000010000…
…001100100100111100
310021200212220021021010
4200000100030210330
51030334134443223
623441523235220
72324400021552
oct400020144474
9107625807233
1034363984188
1113634633a36
1267b0518b10
133318527b71
14193dc69bd2
15d61ceb393
hex80040c93c

34363984188 has 48 divisors (see below), whose sum is σ = 83076295680. Its totient is φ = 11042506944.

The previous prime is 34363984181. The next prime is 34363984219. The reversal of 34363984188 is 88148936343.

It is a super-2 number, since 2×343639841882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34363984181) 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, 148845 + ... + 301467.

It is an arithmetic number, because the mean of its divisors is an integer number (1730756160).

Almost surely, 234363984188 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 34363984188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41538147840).

34363984188 is an abundant number, since it is smaller than the sum of its proper divisors (48712311492).

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

34363984188 is a wasteful number, since it uses less digits than its factorization.

34363984188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153306 (or 153304 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The spelling of 34363984188 in words is "thirty-four billion, three hundred sixty-three million, nine hundred eighty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 647 1294 1941 2588 3882 7764 18763 37526 56289 75052 112578 152623 225156 305246 457869 610492 915738 1831476 4426067 8852134 13278201 17704268 26556402 53112804 98747081 197494162 296241243 394988324 592482486 1184964972 2863665349 5727330698 8590996047 11454661396 17181992094 34363984188