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3130453440 = 263351721313
BaseRepresentation
bin1011101010010110…
…1110110111000000
322002011111111211000
42322211232313000
522402344002230
61234344252000
7140401262262
oct27245566700
98064444730
103130453440
111367072004
12734471000
133ab72b51a
14219a83b32
15134c61b60
hexba96edc0

3130453440 has 224 divisors, whose sum is σ = 11693712960. Its totient is φ = 785645568.

The previous prime is 3130453411. The next prime is 3130453451. The reversal of 3130453440 is 443540313.

3130453440 is a `hidden beast` number, since 313 + 0 + 4 + 5 + 344 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 136224 + ... + 157536.

Almost surely, 23130453440 is an apocalyptic number.

3130453440 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 3130453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846856480).

3130453440 is an abundant number, since it is smaller than the sum of its proper divisors (8563259520).

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

3130453440 is a wasteful number, since it uses less digits than its factorization.

3130453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21356 (or 21340 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3130453440 is about 55950.4552260301. The cubic root of 3130453440 is about 1462.8588258270.

Adding to 3130453440 its reverse (443540313), we get a palindrome (3573993753).

The spelling of 3130453440 in words is "three billion, one hundred thirty million, four hundred fifty-three thousand, four hundred forty".