Search a number
-
+
341114130 = 232573111741
BaseRepresentation
bin10100010101001…
…111110100010010
3212202212101121200
4110111033310102
51144311123010
653503132030
711311264560
oct2425176422
9782771550
10341114130
11165606105
12962a4016
13558947a6
1433436a30
151ee30cc0
hex1454fd12

341114130 has 96 divisors (see below), whose sum is σ = 1017439488. Its totient is φ = 77673600.

The previous prime is 341114107. The next prime is 341114131. The reversal of 341114130 is 31411143.

It is a super-3 number, since 3×3411141303 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (341114131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195060 + ... + 196800.

It is an arithmetic number, because the mean of its divisors is an integer number (10598328).

Almost surely, 2341114130 is an apocalyptic number.

341114130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 341114130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508719744).

341114130 is an abundant number, since it is smaller than the sum of its proper divisors (676325358).

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

341114130 is a wasteful number, since it uses less digits than its factorization.

341114130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 341114130 is about 18469.2752970982. The cubic root of 341114130 is about 698.7147368232.

Adding to 341114130 its reverse (31411143), we get a palindrome (372525273).

The spelling of 341114130 in words is "three hundred forty-one million, one hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 311 315 622 630 933 1555 1741 1866 2177 2799 3110 3482 4354 4665 5223 5598 6531 8705 9330 10446 10885 12187 13062 13995 15669 17410 19593 21770 24374 26115 27990 31338 32655 36561 39186 52230 60935 65310 73122 78345 97965 109683 121870 156690 182805 195930 219366 365610 541451 548415 1082902 1096830 1624353 2707255 3248706 3790157 4873059 5414510 7580314 8121765 9746118 11370471 16243530 18950785 22740942 24365295 34111413 37901570 48730590 56852355 68222826 113704710 170557065 341114130