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3034235106 = 2337171493169
BaseRepresentation
bin1011010011011010…
…1100000011100010
321211110110010002000
42310312230003202
522203231010411
61221030104430
7135122400330
oct26466540342
97743403060
103034235106
111317823821
127081ab116
133948100b6
1420ad98b50
1512b5a7956
hexb4dac0e2

3034235106 has 128 divisors (see below), whose sum is σ = 8216640000. Its totient is φ = 810196992.

The previous prime is 3034235093. The next prime is 3034235131. The reversal of 3034235106 is 6015324303.

It is a happy number.

3034235106 is a `hidden beast` number, since 303 + 4 + 2 + 351 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3034235106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 955890 + ... + 959058.

It is an arithmetic number, because the mean of its divisors is an integer number (64192500).

Almost surely, 23034235106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034235106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108320000).

3034235106 is an abundant number, since it is smaller than the sum of its proper divisors (5182404894).

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

3034235106 is a wasteful number, since it uses less digits than its factorization.

3034235106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3034235106 is about 55083.8915291939. The cubic root of 3034235106 is about 1447.7150068550.

Adding to 3034235106 its reverse (6015324303), we get a palindrome (9049559409).

The spelling of 3034235106 in words is "three billion, thirty-four million, two hundred thirty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 149 153 189 238 298 306 357 378 447 459 714 894 918 1043 1071 1341 2086 2142 2533 2682 3129 3169 3213 4023 5066 6258 6338 6426 7599 8046 9387 9507 15198 17731 18774 19014 22183 22797 28161 28521 35462 44366 45594 53193 53873 56322 57042 66549 68391 85563 106386 107746 133098 136782 159579 161619 171126 199647 319158 323238 377111 399294 472181 478737 484857 598941 754222 944362 957474 969714 1131333 1197882 1416543 1454571 2262666 2833086 2909142 3305267 3393999 4249629 6610534 6787998 8027077 8499258 9915801 10181997 12748887 16054154 19831602 20363994 24081231 25497774 29747403 48162462 56189539 59494806 72243693 89242209 112379078 144487386 168568617 178484418 216731079 337137234 433462158 505705851 1011411702 1517117553 3034235106