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30318080 = 29513911
BaseRepresentation
bin111001110100…
…1111000000000
32010001022120212
41303221320000
530230134310
63001453252
7515461622
oct163517000
963038525
1030318080
1116128471
12a1a1228
1363869c0
144052c12
1529dd205
hex1ce9e00

30318080 has 80 divisors (see below), whose sum is σ = 78369984. Its totient is φ = 11182080.

The previous prime is 30318049. The next prime is 30318083. The reversal of 30318080 is 8081303.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30318083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32825 + ... + 33735.

Almost surely, 230318080 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 30318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184992).

30318080 is an abundant number, since it is smaller than the sum of its proper divisors (48051904).

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

30318080 is an equidigital number, since it uses as much as digits as its factorization.

30318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 30318080 is about 5506.1856125634. The cubic root of 30318080 is about 311.8175571545.

Adding to 30318080 its reverse (8081303), we get a palindrome (38399383).

It can be divided in two parts, 3031 and 8080, that added together give a palindrome (11111).

The spelling of 30318080 in words is "thirty million, three hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 911 1040 1280 1664 1822 2080 2560 3328 3644 4160 4555 6656 7288 8320 9110 11843 14576 16640 18220 23686 29152 33280 36440 47372 58304 59215 72880 94744 116608 118430 145760 189488 233216 236860 291520 378976 466432 473720 583040 757952 947440 1166080 1515904 1894880 2332160 3031808 3789760 6063616 7579520 15159040 30318080