Search a number
-
+
34529794312 = 23132299471531
BaseRepresentation
bin100000001010001000…
…101101100100001000
310022010102220021222211
4200022020231210020
51031204111404222
623510205154504
72331452260156
oct401210554410
9108112807884
1034529794312
111370a1945a2
126837b5ba34
1333439a1070
141957cac3d6
15d71650277
hex80a22d908

34529794312 has 64 divisors (see below), whose sum is σ = 70147828800. Its totient is φ = 15840126720.

The previous prime is 34529794283. The next prime is 34529794331. The reversal of 34529794312 is 21349792543.

It is a super-3 number, since 3×345297943123 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22552987 + ... + 22554517.

It is an arithmetic number, because the mean of its divisors is an integer number (1096059825).

Almost surely, 234529794312 is an apocalyptic number.

It is an amenable number.

34529794312 is an abundant number, since it is smaller than the sum of its proper divisors (35618034488).

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

34529794312 is a wasteful number, since it uses less digits than its factorization.

34529794312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2722 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 49.

The spelling of 34529794312 in words is "thirty-four billion, five hundred twenty-nine million, seven hundred ninety-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 229 458 916 947 1531 1832 1894 2977 3062 3788 5954 6124 7576 11908 12248 12311 19903 23816 24622 39806 49244 79612 98488 159224 216863 350599 433726 701198 867452 1402396 1449857 1734904 2804792 2819219 2899714 4557787 5638438 5799428 9115574 11276876 11598856 18231148 18848141 22553752 36462296 37696282 75392564 150785128 332017253 664034506 1328069012 2656138024 4316224289 8632448578 17264897156 34529794312