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10340341040 = 2454127111633
BaseRepresentation
bin10011010000101010…
…10001010100110000
3222200122011202021002
421220111101110300
5132134111403130
64430021221132
7514146306611
oct115025212460
928618152232
1010340341040
1144269422a7
122006b617a8
13c8a3710c3
14701437c08
15407bd9b45
hex268551530

10340341040 has 80 divisors (see below), whose sum is σ = 24720667776. Its totient is φ = 4020019200.

The previous prime is 10340341009. The next prime is 10340341043. The reversal of 10340341040 is 4014304301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10340341043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 883064 + ... + 894696.

Almost surely, 210340341040 is an apocalyptic number.

10340341040 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 10340341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12360333888).

10340341040 is an abundant number, since it is smaller than the sum of its proper divisors (14380326736).

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

10340341040 is a wasteful number, since it uses less digits than its factorization.

10340341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11958 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10340341040 its reverse (4014304301), we get a palindrome (14354645341).

The spelling of 10340341040 in words is "ten billion, three hundred forty million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 271 328 410 542 656 820 1084 1355 1640 2168 2710 3280 4336 5420 10840 11111 11633 21680 22222 23266 44444 46532 55555 58165 88888 93064 111110 116330 177776 186128 222220 232660 444440 465320 476953 888880 930640 953906 1907812 2384765 3152543 3815624 4769530 6305086 7631248 9539060 12610172 15762715 19078120 25220344 31525430 38156240 50440688 63050860 126101720 129254263 252203440 258508526 517017052 646271315 1034034104 1292542630 2068068208 2585085260 5170170520 10340341040