Search a number
-
+
30641268 = 2237231412
BaseRepresentation
bin111010011100…
…0110001110100
32010122201220210
41310320301310
530321010033
63012425420
7521306100
oct164706164
963581823
1030641268
1116329269
12a318270
13646ab38
1440d8900
152a53d63
hex1d38c74

30641268 has 108 divisors (see below), whose sum is σ = 87997056. Its totient is φ = 8265600.

The previous prime is 30641263. The next prime is 30641297. The reversal of 30641268 is 86214603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30641263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 747328 + ... + 747368.

Almost surely, 230641268 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 30641268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43998528).

30641268 is an abundant number, since it is smaller than the sum of its proper divisors (57355788).

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

30641268 is a wasteful number, since it uses less digits than its factorization.

30641268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 30641268 is about 5535.4555368100. The cubic root of 30641268 is about 312.9216256593.

The spelling of 30641268 in words is "thirty million, six hundred forty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 41 42 49 62 82 84 93 98 123 124 147 164 186 196 217 246 287 294 372 434 492 574 588 651 861 868 1148 1271 1302 1519 1681 1722 2009 2542 2604 3038 3362 3444 3813 4018 4557 5043 5084 6027 6076 6724 7626 8036 8897 9114 10086 11767 12054 15252 17794 18228 20172 23534 24108 26691 35301 35588 47068 52111 53382 62279 70602 82369 104222 106764 124558 141204 156333 164738 186837 208444 247107 249116 312666 329476 364777 373674 494214 625332 729554 747348 988428 1094331 1459108 2188662 2553439 4377324 5106878 7660317 10213756 15320634 30641268