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34068668928 = 293710330763
BaseRepresentation
bin11111101110101001…
…101010001000000000
310020221022012200212220
4133232221222020000
51024233034401203
623352333451040
72314152623250
oct375651521000
9106838180786
1034068668928
11134a296a238
126729640a80
13329c2aa4c8
141912955960
15d45e15653
hex7eea6a200

34068668928 has 160 divisors (see below), whose sum is σ = 104737391616. Its totient is φ = 9639088128.

The previous prime is 34068668917. The next prime is 34068668989. The reversal of 34068668928 is 82986686043.

It is a Cunningham number, because it is equal to 1845772-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092075 + ... + 1122837.

Almost surely, 234068668928 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 34068668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52368695808).

34068668928 is an abundant number, since it is smaller than the sum of its proper divisors (70668722688).

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

34068668928 is a wasteful number, since it uses less digits than its factorization.

34068668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30894 (or 30878 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 34068668928 in words is "thirty-four billion, sixty-eight million, six hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 256 309 336 384 412 448 512 618 672 721 768 824 896 1236 1344 1442 1536 1648 1792 2163 2472 2688 2884 3296 3584 4326 4944 5376 5768 6592 8652 9888 10752 11536 13184 17304 19776 23072 26368 30763 34608 39552 46144 52736 61526 69216 79104 92288 92289 123052 138432 158208 184576 184578 215341 246104 276864 369152 369156 430682 492208 553728 646023 738312 861364 984416 1107456 1292046 1476624 1722728 1968832 2584092 2953248 3168589 3445456 3937664 5168184 5906496 6337178 6890912 7875328 9505767 10336368 11812992 12674356 13781824 15750656 19011534 20672736 22180123 23625984 25348712 27563648 38023068 41345472 44360246 47251968 50697424 55127296 66540369 76046136 82690944 88720492 101394848 110254592 133080738 152092272 165381888 177440984 202789696 266161476 304184544 330763776 354881968 405579392 532322952 608369088 709763936 811158784 1064645904 1216738176 1419527872 1622317568 2129291808 2433476352 2839055744 4258583616 4866952704 5678111488 8517167232 11356222976 17034334464 34068668928