Search a number
-
+
34312404333020 = 22511532942744797
BaseRepresentation
bin1111100110100111110101…
…01010111111000111011100
311111111020022110020220010212
413303103322222333013130
513444133301002124040
6200550522334151552
710140663236411132
oct763237252770734
9144436273226125
1034312404333020
11aa298997a5a10
123a21b829525b8
13161b851bc89b8
14868a2d01b752
153e7827430d65
hex1f34faabf1dc

34312404333020 has 48 divisors (see below), whose sum is σ = 80089742422368. Its totient is φ = 12241818351360.

The previous prime is 34312404332989. The next prime is 34312404333059. The reversal of 34312404333020 is 2033340421343.

It is a super-2 number, since 2×343124043330202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471360739 + ... + 1471384058.

It is an arithmetic number, because the mean of its divisors is an integer number (1668536300466).

Almost surely, 234312404333020 is an apocalyptic number.

It is an amenable number.

34312404333020 is an abundant number, since it is smaller than the sum of its proper divisors (45777338089348).

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

34312404333020 is a wasteful number, since it uses less digits than its factorization.

34312404333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942744870 (or 2942744868 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 34312404333020 its reverse (2033340421343), we get a palindrome (36345744754363).

The spelling of 34312404333020 in words is "thirty-four trillion, three hundred twelve billion, four hundred four million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 2942744797 5885489594 11770979188 14713723985 29427447970 32370192767 58854895940 64740385534 129480771068 155965474241 161850963835 311930948482 323701927670 623861896964 647403855340 779827371205 1559654742410 1715620216651 3119309484820 3431240433302 6862480866604 8578101083255 17156202166510 34312404333020