Search a number
-
+
30406068 = 223272111567
BaseRepresentation
bin111001111111…
…1010110110100
32010012210021200
41303333112310
530240443233
63003412500
7516306300
oct163772664
963183250
1030406068
1116188590
12a224130
1363b7a74
144076d00
152a09313
hex1cff5b4

30406068 has 108 divisors (see below), whose sum is σ = 97598592. Its totient is φ = 7892640.

The previous prime is 30406067. The next prime is 30406087. The reversal of 30406068 is 86060403.

It is a super-3 number, since 3×304060683 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30406067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18621 + ... + 20187.

Almost surely, 230406068 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 30406068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48799296).

30406068 is an abundant number, since it is smaller than the sum of its proper divisors (67192524).

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

30406068 is a wasteful number, since it uses less digits than its factorization.

30406068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30406068 is about 5514.1697471152. The cubic root of 30406068 is about 312.1189142379.

The spelling of 30406068 in words is "thirty million, four hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1567 1617 1764 2156 2772 3134 3234 4701 4851 6268 6468 9402 9702 10969 14103 17237 18804 19404 21938 28206 32907 34474 43876 51711 56412 65814 68948 76783 98721 103422 120659 131628 153566 155133 197442 206844 230349 241318 307132 310266 361977 394884 460698 482636 620532 691047 723954 844613 921396 1085931 1382094 1447908 1689226 2171862 2533839 2764188 3378452 4343724 5067678 7601517 10135356 15203034 30406068