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10334324424 = 23331731791063
BaseRepresentation
bin10011001111111100…
…10100011011001000
3222200012212002000110
421213332110123020
5132131041340144
64425244234320
7514044210504
oct114776243310
928605762013
1010334324424
114423502996
122004b3b9a0
13c89045688
1470070d304
154073ec0b9
hex267f946c8

10334324424 has 128 divisors (see below), whose sum is σ = 27211161600. Its totient is φ = 3266542080.

The previous prime is 10334324401. The next prime is 10334324459. The reversal of 10334324424 is 42442343301.

It is a happy number.

It is a super-2 number, since 2×103343244242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10334324391 and 10334324400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9721317 + ... + 9722379.

It is an arithmetic number, because the mean of its divisors is an integer number (212587200).

Almost surely, 210334324424 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 10334324424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605580800).

10334324424 is an abundant number, since it is smaller than the sum of its proper divisors (16876837176).

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

10334324424 is a wasteful number, since it uses less digits than its factorization.

10334324424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10334324424 its reverse (42442343301), we get a palindrome (52776667725).

The spelling of 10334324424 in words is "ten billion, three hundred thirty-four million, three hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 73 93 124 146 179 186 219 248 292 358 372 438 537 584 716 744 876 1063 1074 1432 1752 2126 2148 2263 3189 4252 4296 4526 5549 6378 6789 8504 9052 11098 12756 13067 13578 16647 18104 22196 25512 26134 27156 32953 33294 39201 44392 52268 54312 65906 66588 77599 78402 98859 104536 131812 133176 155198 156804 190277 197718 232797 263624 310396 313608 380554 395436 405077 465594 570831 620792 761108 790872 810154 931188 1141662 1215231 1522216 1620308 1862376 2283324 2405569 2430462 3240616 4566648 4811138 4860924 5898587 7216707 9622276 9721848 11797174 13890221 14433414 17695761 19244552 23594348 27780442 28866828 35391522 41670663 47188696 55560884 57733656 70783044 83341326 111121768 141566088 166682652 333365304 430596851 861193702 1291790553 1722387404 2583581106 3444774808 5167162212 10334324424