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110299434 = 23717241641
BaseRepresentation
bin1101001001100…
…00100100101010
321200112210101020
412210300210222
5211214040214
614540033310
72506346460
oct644604452
9250483336
10110299434
1157296663
1230b32836
1319b0b74b
1410912830
159a3b4a9
hex693092a

110299434 has 64 divisors (see below), whose sum is σ = 268468992. Its totient is φ = 29491200.

The previous prime is 110299433. The next prime is 110299463. The reversal of 110299434 is 434992011.

It is a junction number, because it is equal to n+sod(n) for n = 110299395 and 110299404.

It is not an unprimeable number, because it can be changed into a prime (110299433) 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, 171754 + ... + 172394.

It is an arithmetic number, because the mean of its divisors is an integer number (4194828).

Almost surely, 2110299434 is an apocalyptic number.

110299434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110299434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134234496).

110299434 is an abundant number, since it is smaller than the sum of its proper divisors (158169558).

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

110299434 is a wasteful number, since it uses less digits than its factorization.

110299434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 110299434 is about 10502.3537361870. The cubic root of 110299434 is about 479.5763536317.

The spelling of 110299434 in words is "one hundred ten million, two hundred ninety-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 241 357 482 641 714 723 1282 1446 1687 1923 3374 3846 4097 4487 5061 8194 8974 10122 10897 12291 13461 21794 24582 26922 28679 32691 57358 65382 76279 86037 152558 154481 172074 228837 308962 457674 463443 926886 1081367 2162734 2626177 3244101 5252354 6488202 7878531 15757062 18383239 36766478 55149717 110299434