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341130440 = 23573833181
BaseRepresentation
bin10100010101010…
…011110011001000
3212202220012222202
4110111103303020
51144312133230
653503335332
711311363250
oct2425236310
9782805882
10341130440
11165617392
12962b1548
135589c041
143343c960
151ee35a45
hex14553cc8

341130440 has 64 divisors (see below), whose sum is σ = 879759360. Its totient is φ = 116616960.

The previous prime is 341130431. The next prime is 341130463. The reversal of 341130440 is 44031143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 105650 + ... + 108830.

It is an arithmetic number, because the mean of its divisors is an integer number (13746240).

Almost surely, 2341130440 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 341130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439879680).

341130440 is an abundant number, since it is smaller than the sum of its proper divisors (538628920).

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

341130440 is a wasteful number, since it uses less digits than its factorization.

341130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 341130440 is about 18469.7168359453. The cubic root of 341130440 is about 698.7258727400.

Adding to 341130440 its reverse (44031143), we get a palindrome (385161583).

The spelling of 341130440 in words is "three hundred forty-one million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 383 766 1532 1915 2681 3064 3181 3830 5362 6362 7660 10724 12724 13405 15320 15905 21448 22267 25448 26810 31810 44534 53620 63620 89068 107240 111335 127240 178136 222670 445340 890680 1218323 2436646 4873292 6091615 8528261 9746584 12183230 17056522 24366460 34113044 42641305 48732920 68226088 85282610 170565220 341130440