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340107040 = 25572134771
BaseRepresentation
bin10100010001011…
…001111100100000
3212200222020011001
4110101121330200
51144031411130
653425401344
711266601500
oct2421317440
9780866131
10340107040
11164a884a9
1295a99254
1355601290
1433253a00
151ecd26ca
hex14459f20

340107040 has 288 divisors, whose sum is σ = 1042481664. Its totient is φ = 103864320.

The previous prime is 340107037. The next prime is 340107043. The reversal of 340107040 is 40701043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340107037) and next prime (340107043).

It is a junction number, because it is equal to n+sod(n) for n = 340106999 and 340107017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340107043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4790205 + ... + 4790275.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2340107040 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 340107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521240832).

340107040 is an abundant number, since it is smaller than the sum of its proper divisors (702374624).

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

340107040 is a wasteful number, since it uses less digits than its factorization.

340107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 340107040 is about 18441.9912157012. The cubic root of 340107040 is about 698.0264410363.

Adding to 340107040 its reverse (40701043), we get a palindrome (380808083).

The spelling of 340107040 in words is "three hundred forty million, one hundred seven thousand, forty".