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10341940 = 2257261173
BaseRepresentation
bin100111011100…
…111000110100
3201110102110211
4213130320310
510121420230
61005355204
7153622300
oct47347064
921412424
1010341940
115924064
123568b04
1321b13bb
141532d00
15d9442a
hex9dce34

10341940 has 72 divisors (see below), whose sum is σ = 25826472. Its totient is φ = 3467520.

The previous prime is 10341913. The next prime is 10341959. The reversal of 10341940 is 4914301.

It can be written as a sum of positive squares in 4 ways, for example, as 682276 + 9659664 = 826^2 + 3108^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59694 + ... + 59866.

It is an arithmetic number, because the mean of its divisors is an integer number (358701).

Almost surely, 210341940 is an apocalyptic number.

10341940 is a gapful number since it is divisible by the number (10) 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 10341940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913236).

10341940 is an abundant number, since it is smaller than the sum of its proper divisors (15484532).

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

10341940 is a wasteful number, since it uses less digits than its factorization.

10341940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10341940 is about 3215.8886796654. Note that the first 3 decimals coincide. The cubic root of 10341940 is about 217.8716243301.

The spelling of 10341940 in words is "ten million, three hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 173 196 244 245 305 346 427 490 610 692 854 865 980 1211 1220 1708 1730 2135 2422 2989 3460 4270 4844 5978 6055 8477 8540 10553 11956 12110 14945 16954 21106 24220 29890 33908 42212 42385 52765 59780 73871 84770 105530 147742 169540 211060 295484 369355 517097 738710 1034194 1477420 2068388 2585485 5170970 10341940