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10340835840 = 293751847
BaseRepresentation
bin10011010000101110…
…01010001000000000
3222200200002220000000
421220113022020000
5132134223221330
64430040000000
7514153440306
oct115027121000
928620086000
1010340835840
114427150025
122007160000
13c8a4b539a
14701526276
15407c86560
hex2685ca200

10340835840 has 320 divisors, whose sum is σ = 37205118720. Its totient is φ = 2756063232.

The previous prime is 10340835833. The next prime is 10340835847. The reversal of 10340835840 is 4853804301.

It is an interprime number because it is at equal distance from previous prime (10340835833) and next prime (10340835847).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10340835795 and 10340835804.

It is not an unprimeable number, because it can be changed into a prime (10340835847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5597797 + ... + 5599643.

It is an arithmetic number, because the mean of its divisors is an integer number (116265996).

Almost surely, 210340835840 is an apocalyptic number.

10340835840 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 10340835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18602559360).

10340835840 is an abundant number, since it is smaller than the sum of its proper divisors (26864282880).

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

10340835840 is an frugal number, since it uses more digits than its factorization.

10340835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10340835840 in words is "ten billion, three hundred forty million, eight hundred thirty-five thousand, eight hundred forty".