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190870344 = 23347291451
BaseRepresentation
bin10110110000001…
…11001101001000
3111022011012220000
423120013031020
5342330322334
630535003000
74505241210
oct1330071510
9438135800
10190870344
1198817795
1253b09460
133070b942
141b4c7240
1511b54299
hexb607348

190870344 has 160 divisors (see below), whose sum is σ = 632491200. Its totient is φ = 52617600.

The previous prime is 190870343. The next prime is 190870357. The reversal of 190870344 is 443078091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 190870299 and 190870308.

It is not an unprimeable number, because it can be changed into a prime (190870343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130819 + ... + 132269.

It is an arithmetic number, because the mean of its divisors is an integer number (3953070).

Almost surely, 2190870344 is an apocalyptic number.

190870344 is a gapful number since it is divisible by the number (14) 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 190870344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316245600).

190870344 is an abundant number, since it is smaller than the sum of its proper divisors (441620856).

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

190870344 is a wasteful number, since it uses less digits than its factorization.

190870344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 190870344 is about 13815.5833753049. The cubic root of 190870344 is about 575.7661811391.

The spelling of 190870344 in words is "one hundred ninety million, eight hundred seventy thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 648 696 756 783 812 1044 1134 1218 1451 1512 1566 1624 1827 2088 2268 2349 2436 2902 3132 3654 4353 4536 4698 4872 5481 5804 6264 7308 8706 9396 10157 10962 11608 13059 14616 16443 17412 18792 20314 21924 26118 30471 32886 34824 39177 40628 42079 43848 52236 60942 65772 78354 81256 84158 91413 104472 117531 121884 126237 131544 156708 168316 182826 235062 243768 252474 274239 294553 313416 336632 365652 378711 470124 504948 548478 589106 731304 757422 822717 883659 940248 1009896 1096956 1136133 1178212 1514844 1645434 1767318 2193912 2272266 2356424 2650977 3029688 3290868 3408399 3534636 4544532 5301954 6581736 6816798 7069272 7952931 9089064 10603908 13633596 15905862 21207816 23858793 27267192 31811724 47717586 63623448 95435172 190870344