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30641832 = 233213191723
BaseRepresentation
bin111010011100…
…0111010101000
32010122202200200
41310320322220
530321014312
63012432200
7521310534
oct164707250
963582620
1030641832
1116329731
12a318660
13646b180
1440d8bc4
152a540dc
hex1d38ea8

30641832 has 96 divisors (see below), whose sum is σ = 94130400. Its totient is φ = 8926848.

The previous prime is 30641797. The next prime is 30641833. The reversal of 30641832 is 23814603.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30641796 and 30641805.

It is not an unprimeable number, because it can be changed into a prime (30641833) 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 23 ways as a sum of consecutive naturals, for example, 16923 + ... + 18645.

It is an arithmetic number, because the mean of its divisors is an integer number (980525).

Almost surely, 230641832 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 30641832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47065200).

30641832 is an abundant number, since it is smaller than the sum of its proper divisors (63488568).

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

30641832 is a wasteful number, since it uses less digits than its factorization.

30641832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1760 counting only the distinct ones).

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

The square root of 30641832 is about 5535.5064808922. The cubic root of 30641832 is about 312.9235455832.

The spelling of 30641832 in words is "thirty million, six hundred forty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1723 1976 2223 2964 3446 4446 5169 5928 6892 8892 10338 13784 15507 17784 20676 22399 31014 32737 41352 44798 62028 65474 67197 89596 98211 124056 130948 134394 179192 196422 201591 261896 268788 294633 392844 403182 425581 537576 589266 785688 806364 851162 1178532 1276743 1612728 1702324 2357064 2553486 3404648 3830229 5106972 7660458 10213944 15320916 30641832