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2930440392 = 2332113700051
BaseRepresentation
bin1010111010101010…
…1111100011001000
321120020010210111100
42232222233203020
522000143043032
61202441301400
7132422221665
oct25652574310
97506123440
102930440392
111274180270
12699494860
1337916b2c9
141db29aa6c
1512240397c
hexaeaaf8c8

2930440392 has 48 divisors (see below), whose sum is σ = 8658121680. Its totient is φ = 888012000.

The previous prime is 2930440391. The next prime is 2930440393.

2930440392 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2930440391) and next prime (2930440393).

It is a super-2 number, since 2×29304403922 = 17174961782130227328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2930440391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1849234 + ... + 1850817.

It is an arithmetic number, because the mean of its divisors is an integer number (180377535).

Almost surely, 22930440392 is an apocalyptic number.

2930440392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2930440392 is an abundant number, since it is smaller than the sum of its proper divisors (5727681288).

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

2930440392 is a wasteful number, since it uses less digits than its factorization.

2930440392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700074 (or 3700067 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2930440392 is about 54133.5422081356. The cubic root of 2930440392 is about 1431.0153663743.

It can be divided in two parts, 29304 and 40392, that added together give a palindrome (69696).

The spelling of 2930440392 in words is "two billion, nine hundred thirty million, four hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 3700051 7400102 11100153 14800204 22200306 29600408 33300459 40700561 44400612 66600918 81401122 88801224 122101683 133201836 162802244 244203366 266403672 325604488 366305049 488406732 732610098 976813464 1465220196 2930440392