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3130320440 = 2351337316139
BaseRepresentation
bin1011101010010100…
…1110011000111000
322002011020202101002
42322211032120320
522402330223230
61234341344132
7140400166442
oct27245163070
98064222332
103130320440
111366a91095
12734408048
133ab6b2b20
14219a4b492
15134c37545
hexba94e638

3130320440 has 64 divisors (see below), whose sum is σ = 7605813600. Its totient is φ = 1152640512.

The previous prime is 3130320421. The next prime is 3130320443. The reversal of 3130320440 is 440230313.

3130320440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130320443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185891 + ... + 202029.

Almost surely, 23130320440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802906800).

3130320440 is an abundant number, since it is smaller than the sum of its proper divisors (4475493160).

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

3130320440 is a wasteful number, since it uses less digits than its factorization.

3130320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16536 (or 16532 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3130320440 is about 55949.2666618607. The cubic root of 3130320440 is about 1462.8381085962.

Adding to 3130320440 its reverse (440230313), we get a palindrome (3570550753).

The spelling of 3130320440 in words is "three billion, one hundred thirty million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 373 520 746 1492 1865 2984 3730 4849 7460 9698 14920 16139 19396 24245 32278 38792 48490 64556 80695 96980 129112 161390 193960 209807 322780 419614 645560 839228 1049035 1678456 2098070 4196140 6019847 8392280 12039694 24079388 30099235 48158776 60198470 78258011 120396940 156516022 240793880 313032044 391290055 626064088 782580110 1565160220 3130320440