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30667104 = 2532138191
BaseRepresentation
bin111010011111…
…1000101100000
32010201001100200
41310333011200
530322321404
63013145200
7521444316
oct164770540
963631320
1030667104
1116346716
12a32b200
136479820
1441040b6
152a5b839
hex1d3f160

30667104 has 72 divisors (see below), whose sum is σ = 93929472. Its totient is φ = 9434880.

The previous prime is 30667097. The next prime is 30667111. The reversal of 30667104 is 40176603.

It is an interprime number because it is at equal distance from previous prime (30667097) and next prime (30667111).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 352 + ... + 7839.

It is an arithmetic number, because the mean of its divisors is an integer number (1304576).

Almost surely, 230667104 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 30667104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46964736).

30667104 is an abundant number, since it is smaller than the sum of its proper divisors (63262368).

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

30667104 is a wasteful number, since it uses less digits than its factorization.

30667104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30667104 is about 5537.7887283644. The cubic root of 30667104 is about 313.0095503488.

The spelling of 30667104 in words is "thirty million, six hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 8191 16382 24573 32764 49146 65528 73719 98292 106483 131056 147438 196584 212966 262112 294876 319449 393168 425932 589752 638898 786336 851864 958347 1179504 1277796 1703728 1916694 2359008 2555592 3407456 3833388 5111184 7666776 10222368 15333552 30667104