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341112400 = 24527112011
BaseRepresentation
bin10100010101001…
…111011001010000
3212202212022020121
4110111033121100
51144311044100
653503120024
711311256536
oct2425173120
9782768217
10341112400
11165604882
12962a3014
1355893a75
1433436156
151ee3051a
hex1454f650

341112400 has 60 divisors (see below), whose sum is σ = 831134304. Its totient is φ = 134512000.

The previous prime is 341112397. The next prime is 341112403. The reversal of 341112400 is 4211143.

It is an interprime number because it is at equal distance from previous prime (341112397) and next prime (341112403).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341112403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22395 + ... + 34405.

Almost surely, 2341112400 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 341112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415567152).

341112400 is an abundant number, since it is smaller than the sum of its proper divisors (490021904).

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

341112400 is a wasteful number, since it uses less digits than its factorization.

341112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12100 (or 12089 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 341112400 is about 18469.2284624995. The cubic root of 341112400 is about 698.7135556169.

Adding to 341112400 its reverse (4211143), we get a palindrome (345323543).

The spelling of 341112400 in words is "three hundred forty-one million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 1136 1420 1775 2840 3550 5680 7100 12011 14200 24022 28400 48044 60055 96088 120110 192176 240220 300275 480440 600550 852781 960880 1201100 1705562 2402200 3411124 4263905 4804400 6822248 8527810 13644496 17055620 21319525 34111240 42639050 68222480 85278100 170556200 341112400