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3068704440 = 233451979631
BaseRepresentation
bin1011011011101000…
…1011011010111000
321220212022100010000
42312322023122320
522241042020230
61224300553000
7136021362114
oct26672133270
97825270100
103068704440
11133522707a
12717852760
1339b9bb459
142117ac744
1512e615b60
hexb6e8b6b8

3068704440 has 320 divisors, whose sum is σ = 11011968000. Its totient is φ = 764225280.

The previous prime is 3068704423. The next prime is 3068704447. The reversal of 3068704440 is 444078603.

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 = 3068704395 and 3068704404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3068704447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4862925 + ... + 4863555.

It is an arithmetic number, because the mean of its divisors is an integer number (34412400).

Almost surely, 23068704440 is an apocalyptic number.

3068704440 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 3068704440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505984000).

3068704440 is an abundant number, since it is smaller than the sum of its proper divisors (7943263560).

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

3068704440 is a wasteful number, since it uses less digits than its factorization.

3068704440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3068704440 is about 55395.8882950711. Note that the first 3 decimals coincide. The cubic root of 3068704440 is about 1453.1764592807.

The spelling of 3068704440 in words is "three billion, sixty-eight million, seven hundred four thousand, four hundred forty".