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30313200 = 2435225261
BaseRepresentation
bin111001110100…
…0101011110000
32010001001220010
41303220223300
530230010300
63001414520
7515441451
oct163505360
963031803
1030313200
1116124835
12a19a440
136384708
144051128
1529dba50
hex1ce8af0

30313200 has 60 divisors (see below), whose sum is σ = 97107128. Its totient is φ = 8083200.

The previous prime is 30313187. The next prime is 30313201. The reversal of 30313200 is 231303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30313201) 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 11 ways as a sum of consecutive naturals, for example, 11431 + ... + 13830.

Almost surely, 230313200 is an apocalyptic number.

30313200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30313200 is an abundant number, since it is smaller than the sum of its proper divisors (66793928).

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

30313200 is a wasteful number, since it uses less digits than its factorization.

30313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25282 (or 25271 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 30313200 is about 5505.7424567446. The cubic root of 30313200 is about 311.8008261992.

Adding to 30313200 its reverse (231303), we get a palindrome (30544503).

The spelling of 30313200 in words is "thirty million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 25261 50522 75783 101044 126305 151566 202088 252610 303132 378915 404176 505220 606264 631525 757830 1010440 1212528 1263050 1515660 1894575 2020880 2526100 3031320 3789150 5052200 6062640 7578300 10104400 15156600 30313200