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3124376112 = 24311131923957
BaseRepresentation
bin1011101000111010…
…0011001000110000
322001202001202021210
42322032203020300
522344320013422
61234010120120
7140265521154
oct27216431060
98052052253
103124376112
1113636a1020
12732420040
133aa3b1280
14218d41064
1513446110c
hexba3a3230

3124376112 has 160 divisors (see below), whose sum is σ = 9981861120. Its totient is φ = 827919360.

The previous prime is 3124376107. The next prime is 3124376119. The reversal of 3124376112 is 2116734213.

It is a happy number.

It is a super-3 number, since 3×31243761123 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3124376112.

It is not an unprimeable number, because it can be changed into a prime (3124376119) 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, 118438 + ... + 142394.

It is an arithmetic number, because the mean of its divisors is an integer number (62386632).

Almost surely, 23124376112 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 3124376112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990930560).

3124376112 is an abundant number, since it is smaller than the sum of its proper divisors (6857485008).

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

3124376112 is a wasteful number, since it uses less digits than its factorization.

3124376112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24011 (or 24005 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 3124376112 is about 55896.1189350388. The cubic root of 3124376112 is about 1461.9115687868.

The spelling of 3124376112 in words is "three billion, one hundred twenty-four million, three hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1144 1254 1482 1672 1716 1976 2288 2508 2717 2964 3344 3432 3952 5016 5434 5928 6864 8151 10032 10868 11856 16302 21736 23957 32604 43472 47914 65208 71871 95828 130416 143742 191656 263527 287484 311441 383312 455183 527054 574968 622882 790581 910366 934323 1054108 1149936 1245764 1365549 1581162 1820732 1868646 2108216 2491528 2731098 3162324 3425851 3641464 3737292 4216432 4983056 5007013 5462196 5917379 6324648 6851702 7282928 7474584 10014026 10277553 10924392 11834758 12649296 13703404 14949168 15021039 17752137 20028052 20555106 21848784 23669516 27406808 30042078 35504274 40056104 41110212 47339032 54813616 60084156 65091169 71008548 80112208 82220424 94678064 120168312 130182338 142017096 164440848 195273507 240336624 260364676 284034192 390547014 520729352 781094028 1041458704 1562188056 3124376112