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341113120 = 2552717867
BaseRepresentation
bin10100010101001…
…111100100100000
3212202212100020021
4110111033210200
51144311104440
653503123224
711311261615
oct2425174440
9782770207
10341113120
11165605377
12962a3514
13558941aa
143343650c
151ee3084a
hex1454f920

341113120 has 48 divisors (see below), whose sum is σ = 808956288. Its totient is φ = 135924480.

The previous prime is 341113117. The next prime is 341113139. The reversal of 341113120 is 21311143.

It is a super-2 number, since 2×3411131202 = 232716321272268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 341113094 and 341113103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39427 + ... + 47293.

It is an arithmetic number, because the mean of its divisors is an integer number (16853256).

Almost surely, 2341113120 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 341113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404478144).

341113120 is an abundant number, since it is smaller than the sum of its proper divisors (467843168).

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

341113120 is a wasteful number, since it uses less digits than its factorization.

341113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 341113120 is about 18469.2479543700. The cubic root of 341113120 is about 698.7140472177.

Adding to 341113120 its reverse (21311143), we get a palindrome (362424263).

The spelling of 341113120 in words is "three hundred forty-one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1355 2168 2710 4336 5420 7867 8672 10840 15734 21680 31468 39335 43360 62936 78670 125872 157340 251744 314680 629360 1258720 2131957 4263914 8527828 10659785 17055656 21319570 34111312 42639140 68222624 85278280 170556560 341113120