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110334016 = 261321012
BaseRepresentation
bin1101001001110…
…01000001000000
321200121112211001
412210321001000
5211221142031
614540501344
72506552342
oct644710100
9250545731
10110334016
115730a641
1230b4a854
1319b21400
1410921292
159a46861
hex6939040

110334016 has 63 divisors (see below), whose sum is σ = 239452023. Its totient is φ = 50419200.

The previous prime is 110333999. The next prime is 110334017. The reversal of 110334016 is 610433011.

The square root of 110334016 is 10504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4161600 + 106172416 = 2040^2 + 10304^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110333984 and 110334002.

It is not an unprimeable number, because it can be changed into a prime (110334017) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1092366 + ... + 1092466.

Almost surely, 2110334016 is an apocalyptic number.

110334016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

110334016 is the 10504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110334016

110334016 is an abundant number, since it is smaller than the sum of its proper divisors (129118007).

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

110334016 is an equidigital number, since it uses as much as digits as its factorization.

110334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 110334016 is about 479.6264686562.

Adding to 110334016 its reverse (610433011), we get a palindrome (720767027).

The spelling of 110334016 in words is "one hundred ten million, three hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 169 202 208 338 404 416 676 808 832 1313 1352 1616 2626 2704 3232 5252 5408 6464 10201 10504 10816 17069 20402 21008 34138 40804 42016 68276 81608 84032 132613 136552 163216 265226 273104 326432 530452 546208 652864 1060904 1092416 1723969 2121808 3447938 4243616 6895876 8487232 13791752 27583504 55167008 110334016