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341315828 = 227312711451
BaseRepresentation
bin10100010110000…
…001000011110100
3212210020122021222
4110112001003310
51144334101303
653511325512
711313064610
oct2426010364
9783218258
10341315828
111657336a7
1296380898
1355935539
143348a340
151ee70938
hex145810f4

341315828 has 48 divisors (see below), whose sum is σ = 707739648. Its totient is φ = 140940000.

The previous prime is 341315827. The next prime is 341315839. The reversal of 341315828 is 828513143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341315827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234503 + ... + 235953.

It is an arithmetic number, because the mean of its divisors is an integer number (14744576).

Almost surely, 2341315828 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 341315828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353869824).

341315828 is an abundant number, since it is smaller than the sum of its proper divisors (366423820).

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

341315828 is a wasteful number, since it uses less digits than its factorization.

341315828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1762 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 341315828 is about 18474.7348560135. The cubic root of 341315828 is about 698.8524244620.

The spelling of 341315828 in words is "three hundred forty-one million, three hundred fifteen thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 217 271 434 542 868 1084 1451 1897 2902 3794 5804 7588 8401 10157 16802 20314 33604 40628 44981 58807 89962 117614 179924 235228 314867 393221 629734 786442 1259468 1572884 2752547 5505094 11010188 12189851 24379702 48759404 85328957 170657914 341315828