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10334304330 = 2357210516689
BaseRepresentation
bin10011001111111100…
…01111100001001010
3222200012211001110020
421213332033201022
5132131040214310
64425244001310
7514044065100
oct114776174112
928605731406
1010334304330
114423499889
122004b30236
13c8903949c
14700705c70
154073e6170
hex267f8f84a

10334304330 has 96 divisors (see below), whose sum is σ = 28883459520. Its totient is φ = 2359526400.

The previous prime is 10334304319. The next prime is 10334304361. The reversal of 10334304330 is 3340343301.

It is a self number, because there is not a number n which added to its sum of digits gives 10334304330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1541626 + ... + 1548314.

It is an arithmetic number, because the mean of its divisors is an integer number (300869370).

Almost surely, 210334304330 is an apocalyptic number.

10334304330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334304330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14441729760).

10334304330 is an abundant number, since it is smaller than the sum of its proper divisors (18549155190).

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

10334304330 is a wasteful number, since it uses less digits than its factorization.

10334304330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 10334304330 its reverse (3340343301), we get a palindrome (13674647631).

The spelling of 10334304330 in words is "ten billion, three hundred thirty-four million, three hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1051 1470 2102 3153 5255 6306 6689 7357 10510 13378 14714 15765 20067 22071 31530 33445 36785 40134 44142 46823 51499 66890 73570 93646 100335 102998 110355 140469 154497 200670 220710 234115 257495 280938 308994 327761 468230 514990 655522 702345 772485 983283 1404690 1544970 1638805 1966566 3277610 4916415 7030139 9832830 14060278 21090417 35150695 42180834 49210973 70301390 98421946 105452085 147632919 210904170 246054865 295265838 344476811 492109730 688953622 738164595 1033430433 1476329190 1722384055 2066860866 3444768110 5167152165 10334304330