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3130699248 = 24399941
BaseRepresentation
bin1011101010011010…
…1010110111110000
322002011222000000000
42322212222313300
522402424333443
61234353430000
7140403335025
oct27246526760
98064860000
103130699248
11136721a756
1273456b300
133ab7b6381
14219b0954c
15134cae8d3
hexba9aadf0

3130699248 has 100 divisors (see below), whose sum is σ = 9099355848. Its totient is φ = 1043461440.

The previous prime is 3130699219. The next prime is 3130699249. The reversal of 3130699248 is 8429960313.

It is a happy number.

3130699248 is a `hidden beast` number, since 313 + 0 + 6 + 99 + 248 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130699249) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309958 + ... + 319898.

Almost surely, 23130699248 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 3130699248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549677924).

3130699248 is an abundant number, since it is smaller than the sum of its proper divisors (5968656600).

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

3130699248 is an frugal number, since it uses more digits than its factorization.

3130699248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9976 (or 9946 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3130699248 is about 55952.6518406411. The cubic root of 3130699248 is about 1462.8971134636.

The spelling of 3130699248 in words is "three billion, one hundred thirty million, six hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 9941 11664 13122 17496 19683 19882 26244 29823 34992 39366 39764 52488 59646 78732 79528 89469 104976 119292 157464 159056 178938 238584 268407 314928 357876 477168 536814 715752 805221 1073628 1431504 1610442 2147256 2415663 3220884 4294512 4831326 6441768 7246989 9662652 12883536 14493978 19325304 21740967 28987956 38650608 43481934 57975912 65222901 86963868 115951824 130445802 173927736 195668703 260891604 347855472 391337406 521783208 782674812 1043566416 1565349624 3130699248