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341315040 = 253511127509
BaseRepresentation
bin10100010110000…
…000110111100000
3212210020121012210
4110112000313200
51144334040130
653511322120
711313062403
oct2426006740
9783217183
10341315040
11165733050
1296380340
1355935081
1433489d3a
151ee705b0
hex14580de0

341315040 has 192 divisors, whose sum is σ = 1184440320. Its totient is φ = 81930240.

The previous prime is 341315033. The next prime is 341315041. The reversal of 341315040 is 40513143.

It is a junction number, because it is equal to n+sod(n) for n = 341314998 and 341315016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341315041) 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, 670306 + ... + 670814.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2341315040 is an apocalyptic number.

341315040 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 341315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

341315040 is an abundant number, since it is smaller than the sum of its proper divisors (843125280).

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

341315040 is a wasteful number, since it uses less digits than its factorization.

341315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 341315040 is about 18474.7135295787. The cubic root of 341315040 is about 698.8518866452.

Adding to 341315040 its reverse (40513143), we get a palindrome (381828183).

The spelling of 341315040 in words is "three hundred forty-one million, three hundred fifteen thousand, forty".