Search a number
-
+
34204312311102 = 23243251176062223
BaseRepresentation
bin1111100011011110011111…
…11000101001010100111110
311111002220022100001020122200
413301233033320221110332
513440400412422423402
6200425124423052330
710130115513366033
oct761571770512476
9144086270036580
1034204312311102
11a997a7065aa9a
123a05036ba10a6
1316115b6a96b0b
148636d73bb38a
153e4aecac021c
hex1f1bcfe2953e

34204312311102 has 48 divisors (see below), whose sum is σ = 76134939648768. Its totient is φ = 11091919986000.

The previous prime is 34204312311089. The next prime is 34204312311157. The reversal of 34204312311102 is 20111321340243.

34204312311102 is a `hidden beast` number, since 3 + 4 + 20 + 4 + 312 + 311 + 10 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87836838 + ... + 88225385.

It is an arithmetic number, because the mean of its divisors is an integer number (1586144576016).

Almost surely, 234204312311102 is an apocalyptic number.

34204312311102 is an abundant number, since it is smaller than the sum of its proper divisors (41930627337666).

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

34204312311102 is a wasteful number, since it uses less digits than its factorization.

34204312311102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176062525 (or 176062522 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34204312311102 its reverse (20111321340243), we get a palindrome (54315633651345).

The spelling of 34204312311102 in words is "thirty-four trillion, two hundred four billion, three hundred twelve million, three hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 43 86 129 251 258 387 502 753 774 1506 2259 4518 10793 21586 32379 64758 97137 194274 176062223 352124446 528186669 1056373338 1584560007 3169120014 7570675589 15141351178 22712026767 44191617973 45424053534 68136080301 88383235946 132574853919 136272160602 265149707838 397724561757 795449123514 1900239572839 3800479145678 5700718718517 11401437437034 17102156155551 34204312311102