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3115440240 = 2435112711511
BaseRepresentation
bin1011100110110001…
…1101100001110000
322001010020202120120
42321230131201300
522340023041430
61233050410240
7140126543103
oct27154354160
98033222516
103115440240
111359648400
1272b430980
133a85a2b83
14217a9673a
15133798610
hexb9b1d870

3115440240 has 240 divisors, whose sum is σ = 10772310528. Its totient is φ = 744128000.

The previous prime is 3115440239. The next prime is 3115440253. The reversal of 3115440240 is 420445113.

3115440240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×31154402402 = 19411935778022515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3115440240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2061085 + ... + 2062595.

Almost surely, 23115440240 is an apocalyptic number.

3115440240 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 3115440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386155264).

3115440240 is an abundant number, since it is smaller than the sum of its proper divisors (7656870288).

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

3115440240 is a wasteful number, since it uses less digits than its factorization.

3115440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3115440240 is about 55816.1288517934. The cubic root of 3115440240 is about 1460.5165245651.

Adding to 3115440240 its reverse (420445113), we get a palindrome (3535885353).

The spelling of 3115440240 in words is "three billion, one hundred fifteen million, four hundred forty thousand, two hundred forty".