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1330817040 = 24345729339
BaseRepresentation
bin100111101010010…
…1010100000010000
310102202011111210000
41033110222200100
510211142121130
6340020010000
744656521030
oct11724524020
93382144700
101330817040
116232365a3
12311830900
13182937b07
14c8a638c0
157bc7b260
hex4f52a810

1330817040 has 200 divisors, whose sum is σ = 5282608320. Its totient is φ = 304176384.

The previous prime is 1330817023. The next prime is 1330817087. The reversal of 1330817040 is 407180331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1330816995 and 1330817013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30691 + ... + 60029.

Almost surely, 21330817040 is an apocalyptic number.

1330817040 is a gapful number since it is divisible by the number (10) 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 1330817040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641304160).

1330817040 is an abundant number, since it is smaller than the sum of its proper divisors (3951791280).

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

1330817040 is a wasteful number, since it uses less digits than its factorization.

1330817040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29371 (or 29356 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1330817040 is about 36480.3651297516. The cubic root of 1330817040 is about 1099.9495954865.

Adding to 1330817040 its reverse (407180331), we get a palindrome (1737997371).

The spelling of 1330817040 in words is "one billion, three hundred thirty million, eight hundred seventeen thousand, forty".