Search a number
-
+
309935241 = 34721131229
BaseRepresentation
bin10010011110010…
…011110010001001
3210121012100020000
4102132103302021
51113320411431
650430553213
710452256200
oct2236236211
9717170200
10309935241
11149a4aa30
1287968809
134c299045
142d23c237
151c3229e6
hex12793c89

309935241 has 120 divisors (see below), whose sum is σ = 609143040. Its totient is φ = 155131200.

The previous prime is 309935221. The next prime is 309935261. The reversal of 309935241 is 142539903.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (309935221) and next prime (309935261).

It is not a de Polignac number, because 309935241 - 225 = 276380809 is a prime.

It is a super-2 number, since 2×3099352412 = 192119707227456162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 309935196 and 309935205.

It is not an unprimeable number, because it can be changed into a prime (309935221) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1353315 + ... + 1353543.

It is an arithmetic number, because the mean of its divisors is an integer number (5076192).

Almost surely, 2309935241 is an apocalyptic number.

309935241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

309935241 is a deficient number, since it is larger than the sum of its proper divisors (299207799).

309935241 is a wasteful number, since it uses less digits than its factorization.

309935241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 309935241 is about 17604.9777335843. The cubic root of 309935241 is about 676.7428147888.

The spelling of 309935241 in words is "three hundred nine million, nine hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 21 27 31 33 49 63 77 81 93 99 147 189 217 229 231 279 297 341 441 539 567 651 687 693 837 891 1023 1323 1519 1603 1617 1953 2061 2079 2387 2511 2519 3069 3969 4557 4809 4851 5859 6183 6237 7099 7161 7557 9207 11221 13671 14427 14553 16709 17577 17633 18549 21297 21483 22671 27621 33663 41013 43281 43659 49693 50127 52899 63891 64449 68013 78089 100989 123039 123431 129843 149079 150381 158697 191673 193347 204039 234267 302967 347851 370293 447237 451143 476091 546623 575019 702801 908901 1043553 1110879 1341711 1353429 1428273 1639869 2108403 3130659 3332637 3826361 4025133 4919607 6325209 9391977 9997911 11479083 14758821 28175931 34437249 44276463 103311747 309935241