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341200440 = 233257711907
BaseRepresentation
bin10100010101100…
…100111000111000
3212210000210000100
4110111210320320
51144321403230
653505035400
711312104320
oct2425447070
9783023010
10341200440
11165664a39
1296325b60
13558c4b69
143345a280
151ee4b660
hex14564e38

341200440 has 192 divisors, whose sum is σ = 1285839360. Its totient is φ = 76849920.

The previous prime is 341200439. The next prime is 341200441. The reversal of 341200440 is 44002143.

It is an interprime number because it is at equal distance from previous prime (341200439) and next prime (341200441).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341200441) 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 47 ways as a sum of consecutive naturals, for example, 177967 + ... + 179873.

It is an arithmetic number, because the mean of its divisors is an integer number (6697080).

Almost surely, 2341200440 is an apocalyptic number.

341200440 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 341200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642919680).

341200440 is an abundant number, since it is smaller than the sum of its proper divisors (944638920).

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

341200440 is a wasteful number, since it uses less digits than its factorization.

341200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 341200440 is about 18471.6117326020. The cubic root of 341200440 is about 698.7736623441.

Adding to 341200440 its reverse (44002143), we get a palindrome (385202583).

The spelling of 341200440 in words is "three hundred forty-one million, two hundred thousand, four hundred forty".