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1385318088 = 2332711793163
BaseRepresentation
bin101001010010010…
…0100011011001000
310120112201110011100
41102210210123020
510314120134323
6345244101400
746221003150
oct12244443310
93515643140
101385318088
11650a80a90
12327b34860
1319100ab5b
14d1dad760
1581944943
hex529246c8

1385318088 has 192 divisors, whose sum is σ = 4738406400. Its totient is φ = 355155840.

The previous prime is 1385318069. The next prime is 1385318119. The reversal of 1385318088 is 8808135831.

It is a happy number.

1385318088 is a `hidden beast` number, since 1 + 38 + 531 + 8 + 0 + 88 = 666.

It is a super-3 number, since 3×13853180883 (a number of 28 digits) contains 333 as substring.

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, 436395 + ... + 439557.

It is an arithmetic number, because the mean of its divisors is an integer number (24679200).

Almost surely, 21385318088 is an apocalyptic number.

1385318088 is a gapful number since it is divisible by the number (18) 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 1385318088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369203200).

1385318088 is an abundant number, since it is smaller than the sum of its proper divisors (3353088312).

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

1385318088 is a wasteful number, since it uses less digits than its factorization.

1385318088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1385318088 is about 37219.8614720689. The cubic root of 1385318088 is about 1114.7645981629.

The spelling of 1385318088 in words is "one billion, three hundred eighty-five million, three hundred eighteen thousand, eighty-eight".