Search a number
-
+
34306112036456 = 231319150831151057
BaseRepresentation
bin1111100110011100000111…
…00111110001111001101000
311111110122001221012002221222
413303032003213301321220
513444032404140131311
6200544002120321212
710140351302646161
oct763160347617150
9144418057162858
1034306112036456
11aa2715a982417
123a20907613208
13161b08b3cb5b0
148685d3482768
153e75a9d0badb
hex1f33839f1e68

34306112036456 has 64 divisors (see below), whose sum is σ = 72922747262400. Its totient is φ = 14999235775488.

The previous prime is 34306112036431. The next prime is 34306112036459. The reversal of 34306112036456 is 65463021160343.

It is not an unprimeable number, because it can be changed into a prime (34306112036459) 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, 29228480 + ... + 30379536.

It is an arithmetic number, because the mean of its divisors is an integer number (1139417925975).

Almost surely, 234306112036456 is an apocalyptic number.

It is an amenable number.

34306112036456 is an abundant number, since it is smaller than the sum of its proper divisors (38616635225944).

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

34306112036456 is a wasteful number, since it uses less digits than its factorization.

34306112036456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166178 (or 1166174 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

Adding to 34306112036456 its reverse (65463021160343), we get a palindrome (99769133196799).

The spelling of 34306112036456 in words is "thirty-four trillion, three hundred six billion, one hundred twelve million, thirty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976 15083 30166 60332 120664 196079 286577 392158 573154 784316 1146308 1151057 1568632 2292616 2302114 3725501 4604228 7451002 9208456 14902004 14963741 21870083 29804008 29927482 43740166 59854964 87480332 119709928 174960664 284311079 568622158 1137244316 2274488632 17361392731 34722785462 69445570924 138891141848 225698105503 329866461889 451396211006 659732923778 902792422012 1319465847556 1805584844024 2638931695112 4288264004557 8576528009114 17153056018228 34306112036456