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3022323840 = 27345173337
BaseRepresentation
bin1011010000100101…
…0000000010000000
321210122000221220000
42310021100002000
522142203330330
61215522520000
7134616220524
oct26411200200
97718027800
103022323840
1113110286a8
12704206000
133921cc603
14209577d84
1512a503560
hexb4250080

3022323840 has 320 divisors, whose sum is σ = 10887865560. Its totient is φ = 798916608.

The previous prime is 3022323839. The next prime is 3022323853. The reversal of 3022323840 is 483232203.

It can be written as a sum of positive squares in 4 ways, for example, as 2679925824 + 342398016 = 51768^2 + 18504^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8968152 + ... + 8968488.

Almost surely, 23022323840 is an apocalyptic number.

3022323840 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 3022323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443932780).

3022323840 is an abundant number, since it is smaller than the sum of its proper divisors (7865541720).

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

3022323840 is a wasteful number, since it uses less digits than its factorization.

3022323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3022323840 is about 54975.6658895552. The cubic root of 3022323840 is about 1445.8181276397.

The spelling of 3022323840 in words is "three billion, twenty-two million, three hundred twenty-three thousand, eight hundred forty".