Search a number
-
+
341110100 = 2252171631231
BaseRepresentation
bin10100010101001…
…110110101010100
3212202212012002102
4110111032311110
51144311010400
653503101232
711311250042
oct2425166524
9782765072
10341110100
11165603081
12962a1818
13558929c6
1433435392
151ee2e9d5
hex1454ed54

341110100 has 72 divisors (see below), whose sum is σ = 789199488. Its totient is φ = 127526400.

The previous prime is 341110061. The next prime is 341110111. The reversal of 341110100 is 1011143.

It is a super-2 number, since 2×3411101002 = 232712200644020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276485 + ... + 277715.

It is an arithmetic number, because the mean of its divisors is an integer number (10961104).

Almost surely, 2341110100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394599744).

341110100 is an abundant number, since it is smaller than the sum of its proper divisors (448089388).

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

341110100 is a wasteful number, since it uses less digits than its factorization.

341110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 341110100 is about 18469.1661966641. The cubic root of 341110100 is about 698.7119852207.

Adding to 341110100 its reverse (1011143), we get a palindrome (342121243).

The spelling of 341110100 in words is "three hundred forty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 163 170 326 340 425 652 815 850 1231 1630 1700 2462 2771 3260 4075 4924 5542 6155 8150 11084 12310 13855 16300 20927 24620 27710 30775 41854 55420 61550 69275 83708 104635 123100 138550 200653 209270 277100 401306 418540 523175 802612 1003265 1046350 2006530 2092700 3411101 4013060 5016325 6822202 10032650 13644404 17055505 20065300 34111010 68222020 85277525 170555050 341110100