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3138325080 = 23351113118149
BaseRepresentation
bin1011101100001111…
…0000101001011000
322002201022102200020
42323003300221120
522411402400310
61235225110440
7140525215542
oct27303605130
98081272606
103138325080
1113705590a0
12737028420
133b02563b7
1421ab32692
151357b9170
hexbb0f0a58

3138325080 has 128 divisors (see below), whose sum is σ = 10349856000. Its totient is φ = 754956800.

The previous prime is 3138325009. The next prime is 3138325081. The reversal of 3138325080 is 805238313.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138325081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163846 + ... + 181994.

It is an arithmetic number, because the mean of its divisors is an integer number (80858250).

Almost surely, 23138325080 is an apocalyptic number.

3138325080 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 3138325080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174928000).

3138325080 is an abundant number, since it is smaller than the sum of its proper divisors (7211530920).

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

3138325080 is a wasteful number, since it uses less digits than its factorization.

3138325080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18305 (or 18301 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3138325080 is about 56020.7557964010. The cubic root of 3138325080 is about 1464.0839369295.

The spelling of 3138325080 in words is "three billion, one hundred thirty-eight million, three hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 131 132 165 220 262 264 330 393 440 524 655 660 786 1048 1310 1320 1441 1572 1965 2620 2882 3144 3930 4323 5240 5764 7205 7860 8646 11528 14410 15720 17292 18149 21615 28820 34584 36298 43230 54447 57640 72596 86460 90745 108894 145192 172920 181490 199639 217788 272235 362980 399278 435576 544470 598917 725960 798556 998195 1088940 1197834 1597112 1996390 2177880 2377519 2395668 2994585 3992780 4755038 4791336 5989170 7132557 7985560 9510076 11887595 11978340 14265114 19020152 23775190 23956680 26152709 28530228 35662785 47550380 52305418 57060456 71325570 78458127 95100760 104610836 130763545 142651140 156916254 209221672 261527090 285302280 313832508 392290635 523054180 627665016 784581270 1046108360 1569162540 3138325080