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10334000404 = 2271367491863
BaseRepresentation
bin10011001111111010…
…00101010100010100
3222200012020121112201
421213331011110110
5132131001003104
64425233254244
7514041361030
oct114775052424
928605217481
1010334000404
114423301502
122004a04384
13c88c61050
147006671c0
154073860a4
hex267f45514

10334000404 has 96 divisors (see below), whose sum is σ = 22662291456. Its totient is φ = 4014299520.

The previous prime is 10334000399. The next prime is 10334000419. The reversal of 10334000404 is 40400043301.

10334000404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11974077 + ... + 11974939.

It is an arithmetic number, because the mean of its divisors is an integer number (236065536).

Almost surely, 210334000404 is an apocalyptic number.

10334000404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11331145728).

10334000404 is an abundant number, since it is smaller than the sum of its proper divisors (12328291052).

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

10334000404 is a wasteful number, since it uses less digits than its factorization.

10334000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10334000404 its reverse (40400043301), we get a palindrome (50734043705).

The spelling of 10334000404 in words is "ten billion, three hundred thirty-four million, four hundred four", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 52 67 91 134 182 268 364 469 491 863 871 938 982 1726 1742 1876 1964 3437 3452 3484 6041 6097 6383 6874 11219 12082 12194 12766 13748 22438 24164 24388 25532 32897 44681 44876 57821 65794 78533 89362 115642 131588 157066 178724 230279 231284 314132 404747 423733 427661 460558 751673 809494 847466 855322 921116 1503346 1618988 1694932 1710644 2966131 2993627 3006692 5261711 5508529 5932262 5987254 10523422 11017058 11864524 11974508 21046844 22034116 28390111 38559703 56780222 77119406 113560444 154238812 198730777 369071443 397461554 738142886 794923108 1476285772 2583500101 5167000202 10334000404