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34783226368 = 291123925841
BaseRepresentation
bin100000011001001111…
…011110101000000000
310022210002202222102021
4200121033132220000
51032214001220433
623551301131224
72340650355142
oct403117365000
9108702688367
1034783226368
111382a251880
1268a89b9b14
133384345967
14197d7dcc92
15d88a1122d
hex8193dea00

34783226368 has 80 divisors (see below), whose sum is σ = 76136734080. Its totient is φ = 15743795200.

The previous prime is 34783226353. The next prime is 34783226377. The reversal of 34783226368 is 86362238743.

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, 1333128 + ... + 1358968.

It is an arithmetic number, because the mean of its divisors is an integer number (951709176).

Almost surely, 234783226368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34783226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38068367040).

34783226368 is an abundant number, since it is smaller than the sum of its proper divisors (41353507712).

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

34783226368 is a wasteful number, since it uses less digits than its factorization.

34783226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26109 (or 26093 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 52.

The spelling of 34783226368 in words is "thirty-four billion, seven hundred eighty-three million, two hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 239 256 352 478 512 704 956 1408 1912 2629 2816 3824 5258 5632 7648 10516 15296 21032 25841 30592 42064 51682 61184 84128 103364 122368 168256 206728 284251 336512 413456 568502 673024 826912 1137004 1346048 1653824 2274008 3307648 4548016 6175999 6615296 9096032 12351998 13230592 18192064 24703996 36384128 49407992 67935989 72768256 98815984 135871978 145536512 197631968 271743956 395263936 543487912 790527872 1086975824 1581055744 2173951648 3162111488 4347903296 8695806592 17391613184 34783226368