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105340440 = 2335877837
BaseRepresentation
bin1100100011101…
…01111000011000
321100012211220210
412101311320120
5203431343230
614241451120
72416243662
oct621657030
9240184823
10105340440
1154509917
122b340aa0
1318a9352a
14ddc1532
1593abeb0
hex6475e18

105340440 has 32 divisors (see below), whose sum is σ = 316021680. Its totient is φ = 28090752.

The previous prime is 105340423. The next prime is 105340453. The reversal of 105340440 is 44043501.

It is a super-2 number, since 2×1053404402 = 22193216598787200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 438799 + ... + 439038.

Almost surely, 2105340440 is an apocalyptic number.

105340440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105340440 is an abundant number, since it is smaller than the sum of its proper divisors (210681240).

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

105340440 is a wasteful number, since it uses less digits than its factorization.

105340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877851 (or 877847 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 105340440 is about 10263.5490937589. The cubic root of 105340440 is about 472.2787183668.

Adding to 105340440 its reverse (44043501), we get a palindrome (149383941).

The spelling of 105340440 in words is "one hundred five million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 877837 1755674 2633511 3511348 4389185 5267022 7022696 8778370 10534044 13167555 17556740 21068088 26335110 35113480 52670220 105340440