Search a number
-
+
30681288 = 23331137349
BaseRepresentation
bin111010100001…
…0100011001000
32010201202211000
41311002203020
530323300123
63013335000
7521533551
oct165024310
963652730
1030681288
1116356340
12a337460
136483111
144109328
152a60b43
hex1d428c8

30681288 has 128 divisors (see below), whose sum is σ = 95760000. Its totient is φ = 9020160.

The previous prime is 30681281. The next prime is 30681293. The reversal of 30681288 is 88218603.

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

It is not an unprimeable number, because it can be changed into a prime (30681281) 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, 87738 + ... + 88086.

It is an arithmetic number, because the mean of its divisors is an integer number (748125).

Almost surely, 230681288 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 30681288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880000).

30681288 is an abundant number, since it is smaller than the sum of its proper divisors (65078712).

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

30681288 is a wasteful number, since it uses less digits than its factorization.

30681288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 30681288 is about 5539.0692358915. The cubic root of 30681288 is about 313.0578001298.

30681288 divided by its sum of digits (36) gives a palindrome (852258).

It can be divided in two parts, 3068 and 1288, that added together give a square (4356 = 662).

The spelling of 30681288 in words is "thirty million, six hundred eighty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 88 99 108 111 132 148 198 216 222 264 296 297 333 349 396 407 444 594 666 698 792 814 888 999 1047 1188 1221 1332 1396 1628 1998 2094 2376 2442 2664 2792 3141 3256 3663 3839 3996 4188 4884 6282 7326 7678 7992 8376 9423 9768 10989 11517 12564 12913 14652 15356 18846 21978 23034 25128 25826 29304 30712 34551 37692 38739 43956 46068 51652 69102 75384 77478 87912 92136 103304 103653 116217 138204 142043 154956 207306 232434 276408 284086 309912 348651 414612 426129 464868 568172 697302 829224 852258 929736 1136344 1278387 1394604 1704516 2556774 2789208 3409032 3835161 5113548 7670322 10227096 15340644 30681288