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3069411840 = 29335112367
BaseRepresentation
bin1011011011110011…
…1000001000000000
321220220122021111000
42312330320020000
522241232134330
61224324052000
7136030366365
oct26674701000
97826567430
103069411840
11133566a600
12717b34000
1339bba8431
1421191446c
1512e705560
hexb6f38200

3069411840 has 480 divisors, whose sum is σ = 12016730880. Its totient is φ = 742072320.

The previous prime is 3069411817. The next prime is 3069411859. The reversal of 3069411840 is 481149603.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 3069411795 and 3069411804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8363337 + ... + 8363703.

It is an arithmetic number, because the mean of its divisors is an integer number (25034856).

Almost surely, 23069411840 is an apocalyptic number.

3069411840 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 3069411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008365440).

3069411840 is an abundant number, since it is smaller than the sum of its proper divisors (8947319040).

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

3069411840 is a wasteful number, since it uses less digits than its factorization.

3069411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3069411840 is about 55402.2728775634. The cubic root of 3069411840 is about 1453.2881131363.

The spelling of 3069411840 in words is "three billion, sixty-nine million, four hundred eleven thousand, eight hundred forty".