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34229630944 = 2511326335993
BaseRepresentation
bin11111111000001111…
…101011011111100000
310021100112002102021001
4133320033223133200
51030100241142234
623420323441344
72321146030255
oct377017533740
9107315072231
1034229630944
11135758093a3
126773526254
1332c6746ac2
14192a09542c
15d5510cd14
hex7f83eb7e0

34229630944 has 48 divisors (see below), whose sum is σ = 68246351712. Its totient is φ = 16898387968.

The previous prime is 34229630909. The next prime is 34229630999. The reversal of 34229630944 is 44903692243.

It is a super-2 number, since 2×342296309442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34229630894 and 34229630903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933012 + ... + 969004.

It is an arithmetic number, because the mean of its divisors is an integer number (1421798994).

Almost surely, 234229630944 is an apocalyptic number.

It is an amenable number.

34229630944 is a deficient number, since it is larger than the sum of its proper divisors (34016720768).

34229630944 is a wasteful number, since it uses less digits than its factorization.

34229630944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36379 (or 36371 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

The spelling of 34229630944 in words is "thirty-four billion, two hundred twenty-nine million, six hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 113 226 263 452 526 904 1052 1808 2104 3616 4208 8416 29719 35993 59438 71986 118876 143972 237752 287944 475504 575888 951008 1151776 4067209 8134418 9466159 16268836 18932318 32537672 37864636 65075344 75729272 130150688 151458544 302917088 1069675967 2139351934 4278703868 8557407736 17114815472 34229630944