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341019840 = 26357311637
BaseRepresentation
bin10100010100111…
…000110011000000
3212202200121021110
4110110320303000
51144300113330
653501123320
711310422640
oct2424706300
9782617243
10341019840
11165551287
1296259540
13558608b5
1433410520
151ee12db0
hex14538cc0

341019840 has 224 divisors, whose sum is σ = 1278111744. Its totient is φ = 75386880.

The previous prime is 341019839. The next prime is 341019841. The reversal of 341019840 is 48910143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (341019839) and next prime (341019841).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 341019798 and 341019807.

It is not an unprimeable number, because it can be changed into a prime (341019841) 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 31 ways as a sum of consecutive naturals, for example, 207502 + ... + 209138.

It is an arithmetic number, because the mean of its divisors is an integer number (5705856).

Almost surely, 2341019840 is an apocalyptic number.

341019840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639055872).

341019840 is an abundant number, since it is smaller than the sum of its proper divisors (937091904).

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

341019840 is a wasteful number, since it uses less digits than its factorization.

341019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 341019840 is about 18466.7225029240. The cubic root of 341019840 is about 698.6503518389.

Adding to 341019840 its reverse (48910143), we get a palindrome (389929983).

The spelling of 341019840 in words is "three hundred forty-one million, nineteen thousand, eight hundred forty".