Search a number
-
+
34314340052380 = 2254767544845031
BaseRepresentation
bin1111100110101011011100…
…00011001010110110011100
311111111102022100122121220111
413303111232003022312130
513444201232023134010
6200551442403255404
710141062222636613
oct763255603126634
9144442270577814
1034314340052380
11aa2a6a2428583
123a2242307a564
13161ba9cc5787b
14868b7414287a
153e78dc34758a
hex1f356e0cad9c

34314340052380 has 48 divisors (see below), whose sum is σ = 74691715746816. Its totient is φ = 13233196088640.

The previous prime is 34314340052353. The next prime is 34314340052381. The reversal of 34314340052380 is 8325004341343.

34314340052380 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×343143400523802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314340052381) 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, 272359536 + ... + 272485495.

It is an arithmetic number, because the mean of its divisors is an integer number (1556077411392).

Almost surely, 234314340052380 is an apocalyptic number.

It is an amenable number.

34314340052380 is an abundant number, since it is smaller than the sum of its proper divisors (40377375694436).

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

34314340052380 is a wasteful number, since it uses less digits than its factorization.

34314340052380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544845154 (or 544845152 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 34314340052380 in words is "thirty-four trillion, three hundred fourteen billion, three hundred forty million, fifty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 47 67 94 134 188 235 268 335 470 670 940 1340 3149 6298 12596 15745 31490 62980 544845031 1089690062 2179380124 2724225155 5448450310 10896900620 25607716457 36504617077 51215432914 73009234154 102430865828 128038582285 146018468308 182523085385 256077164570 365046170770 512154329140 730092341540 1715717002619 3431434005238 6862868010476 8578585013095 17157170026190 34314340052380