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3102013440 = 21132597347
BaseRepresentation
bin1011100011100100…
…1111100000000000
322000011222121110200
42320321033200000
522323103412230
61231450525200
7136604451651
oct27071174000
98004877420
103102013440
111352007679
12726a36800
133a5881616
14215d9d528
151324e5160
hexb8e4f800

3102013440 has 288 divisors, whose sum is σ = 10893158640. Its totient is φ = 816316416.

The previous prime is 3102013429. The next prime is 3102013469. The reversal of 3102013440 is 443102013.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8939347 + ... + 8939693.

Almost surely, 23102013440 is an apocalyptic number.

3102013440 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 3102013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446579320).

3102013440 is an abundant number, since it is smaller than the sum of its proper divisors (7791145200).

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

3102013440 is a wasteful number, since it uses less digits than its factorization.

3102013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3102013440 is about 55695.7219182946. The cubic root of 3102013440 is about 1458.4153445326.

Adding to 3102013440 its reverse (443102013), we get a palindrome (3545115453).

The spelling of 3102013440 in words is "three billion, one hundred two million, thirteen thousand, four hundred forty".