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30382632 = 23327232621
BaseRepresentation
bin111001111100…
…1101000101000
32010011121010200
41303321220220
530234221012
63003112200
7516151050
oct163715050
963147120
1030382632
1116171a15
12a212660
1363aa1b7
14406c560
152a023dc
hex1cf9a28

30382632 has 96 divisors (see below), whose sum is σ = 98167680. Its totient is φ = 8300160.

The previous prime is 30382619. The next prime is 30382637. The reversal of 30382632 is 23628303.

It is a junction number, because it is equal to n+sod(n) for n = 30382596 and 30382605.

It is not an unprimeable number, because it can be changed into a prime (30382637) 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, 10282 + ... + 12902.

It is an arithmetic number, because the mean of its divisors is an integer number (1022580).

Almost surely, 230382632 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 30382632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49083840).

30382632 is an abundant number, since it is smaller than the sum of its proper divisors (67785048).

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

30382632 is a wasteful number, since it uses less digits than its factorization.

30382632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30382632 is about 5512.0442668759. The cubic root of 30382632 is about 312.0387032855.

The spelling of 30382632 in words is "thirty million, three hundred eighty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2621 2898 3864 5242 5796 7863 10484 11592 15726 18347 20968 23589 31452 36694 47178 55041 60283 62904 73388 94356 110082 120566 146776 165123 180849 188712 220164 241132 330246 361698 421981 440328 482264 542547 660492 723396 843962 1085094 1265943 1320984 1446792 1687924 2170188 2531886 3375848 3797829 4340376 5063772 7595658 10127544 15191316 30382632