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10334321334 = 234376725733
BaseRepresentation
bin10011001111111100…
…10011101010110110
3222200012211220210000
421213332103222312
5132131041240314
64425244212130
7514044165501
oct114776235266
928605756700
1010334321334
114423500637
122004b3a046
13c8904414c
1470070c138
154073eb209
hex267f93ab6

10334321334 has 80 divisors (see below), whose sum is σ = 24138286128. Its totient is φ = 3301518528.

The previous prime is 10334321321. The next prime is 10334321341. The reversal of 10334321334 is 43312343301.

10334321334 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 4 + 321 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10334321298 and 10334321307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 388732 + ... + 414464.

Almost surely, 210334321334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334321334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12069143064).

10334321334 is an abundant number, since it is smaller than the sum of its proper divisors (13803964794).

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

10334321334 is a wasteful number, since it uses less digits than its factorization.

10334321334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25851 (or 25842 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10334321334 its reverse (43312343301), we get a palindrome (53646664635).

The spelling of 10334321334 in words is "ten billion, three hundred thirty-four million, three hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 67 74 81 111 134 162 201 222 333 402 603 666 999 1206 1809 1998 2479 2997 3618 4958 5427 5994 7437 10854 14874 22311 25733 44622 51466 66933 77199 133866 154398 200799 231597 401598 463194 694791 952121 1389582 1724111 1904242 2084373 2856363 3448222 4168746 5172333 5712726 8569089 10344666 15516999 17138178 25707267 31033998 46550997 51414534 63792107 77121801 93101994 127584214 139652991 154243602 191376321 279305982 382752642 574128963 1148257926 1722386889 3444773778 5167160667 10334321334