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3068362440 = 233251113193137
BaseRepresentation
bin1011011011100011…
…0111111011001000
321220211122221222100
42312320313323020
522241000044230
61224245353400
7136015436043
oct26670677310
97824587870
103068362440
111335013130
12717708860
1339b8cb8a0
1421171dc5a
1512e599660
hexb6e37ec8

3068362440 has 384 divisors, whose sum is σ = 12336105600. Its totient is φ = 650280960.

The previous prime is 3068362439. The next prime is 3068362471. The reversal of 3068362440 is 442638603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3068362395 and 3068362404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 976552 + ... + 979688.

It is an arithmetic number, because the mean of its divisors is an integer number (32125275).

Almost surely, 23068362440 is an apocalyptic number.

3068362440 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 3068362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168052800).

3068362440 is an abundant number, since it is smaller than the sum of its proper divisors (9267743160).

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

3068362440 is a wasteful number, since it uses less digits than its factorization.

3068362440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3068362440 is about 55392.8013373579. The cubic root of 3068362440 is about 1453.1224728919.

The spelling of 3068362440 in words is "three billion, sixty-eight million, three hundred sixty-two thousand, four hundred forty".