Search a number
-
+
34104311000 = 235394736013
BaseRepresentation
bin11111110000110001…
…100111110011011000
310021000210021111121122
4133300301213303120
51024321200423000
623400045424412
72315064601064
oct376061476330
9107023244548
1034104311000
1113510aa36a1
12673956b108
1332a67a95a6
141917592aa4
15d49106085
hex7f0c67cd8

34104311000 has 64 divisors (see below), whose sum is σ = 79890576480. Its totient is φ = 13626940800.

The previous prime is 34104310949. The next prime is 34104311011. The reversal of 34104311000 is 11340143.

It is a self number, because there is not a number n which added to its sum of digits gives 34104311000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928994 + ... + 965006.

Almost surely, 234104311000 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 34104311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39945288240).

34104311000 is an abundant number, since it is smaller than the sum of its proper divisors (45786265480).

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

34104311000 is a wasteful number, since it uses less digits than its factorization.

34104311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36981 (or 36967 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 34104311000 its reverse (11340143), we get a palindrome (34115651143).

The spelling of 34104311000 in words is "thirty-four billion, one hundred four million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 947 1000 1894 3788 4735 7576 9470 18940 23675 36013 37880 47350 72026 94700 118375 144052 180065 189400 236750 288104 360130 473500 720260 900325 947000 1440520 1800650 3601300 4501625 7202600 9003250 18006500 34104311 36013000 68208622 136417244 170521555 272834488 341043110 682086220 852607775 1364172440 1705215550 3410431100 4263038875 6820862200 8526077750 17052155500 34104311000