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10340103240 = 23325194136871
BaseRepresentation
bin10011010000101000…
…10111010001001000
3222200121201200001200
421220110113101020
5132134031300430
64430012144200
7514144266405
oct115024272110
928617650050
1010340103240
11442679a675
122006a68060
13c8a2b9aac
147013b52ac
15407b8e460
hex268517448

10340103240 has 192 divisors, whose sum is σ = 36237801600. Its totient is φ = 2548454400.

The previous prime is 10340103223. The next prime is 10340103269. The reversal of 10340103240 is 4230104301.

10340103240 is a `hidden beast` number, since 1 + 0 + 340 + 1 + 0 + 324 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 262005 + ... + 298875.

It is an arithmetic number, because the mean of its divisors is an integer number (188738550).

Almost surely, 210340103240 is an apocalyptic number.

10340103240 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 10340103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18118900800).

10340103240 is an abundant number, since it is smaller than the sum of its proper divisors (25897698360).

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

10340103240 is a wasteful number, since it uses less digits than its factorization.

10340103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36948 (or 36941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10340103240 its reverse (4230104301), we get a palindrome (14570207541).

The spelling of 10340103240 in words is "ten billion, three hundred forty million, one hundred three thousand, two hundred forty".