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3022842240 = 27365111931
BaseRepresentation
bin1011010000101100…
…1110100110000000
321210200000022000000
42310023032212000
522142321422430
61215542000000
7134623510065
oct26413164600
97720008000
103022842240
111311352130
12704416000
13392351562
14209670c6c
1512a5a6e60
hexb42ce980

3022842240 has 896 divisors, whose sum is σ = 12843187200. Its totient is φ = 671846400.

The previous prime is 3022842239. The next prime is 3022842241. The reversal of 3022842240 is 422482203.

It is an interprime number because it is at equal distance from previous prime (3022842239) and next prime (3022842241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022842241) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 97511025 + ... + 97511055.

Almost surely, 23022842240 is an apocalyptic number.

3022842240 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 3022842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421593600).

3022842240 is an abundant number, since it is smaller than the sum of its proper divisors (9820344960).

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

3022842240 is a wasteful number, since it uses less digits than its factorization.

3022842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3022842240 is about 54980.3805006841. The cubic root of 3022842240 is about 1445.9007869121.

The spelling of 3022842240 in words is "three billion, twenty-two million, eight hundred forty-two thousand, two hundred forty".