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3069480960 = 21233571361
BaseRepresentation
bin1011011011110100…
…1001000000000000
321220220202210022000
42312331021000000
522241241342320
61224325344000
7136031105040
oct26675110000
97826683260
103069480960
111335707527
12717b68000
1339bc00a30
14211931720
1512e71ac90
hexb6f49000

3069480960 has 832 divisors, whose sum is σ = 13650792960. Its totient is φ = 637009920.

The previous prime is 3069480941. The next prime is 3069480961. The reversal of 3069480960 is 690849603.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3069480961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50319330 + ... + 50319390.

Almost surely, 23069480960 is an apocalyptic number.

3069480960 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 3069480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825396480).

3069480960 is an abundant number, since it is smaller than the sum of its proper divisors (10581312000).

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

3069480960 is a wasteful number, since it uses less digits than its factorization.

3069480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3069480960 is about 55402.8966751739. The cubic root of 3069480960 is about 1453.2990219060.

The spelling of 3069480960 in words is "three billion, sixty-nine million, four hundred eighty thousand, nine hundred sixty".