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30195024 = 2434167229
BaseRepresentation
bin111001100101…
…1110101010000
32002211001210020
41303023311100
530212220044
62555103440
7514440066
oct163136520
962731706
1030195024
1116053a72
12a141b80
1363429a2
144020036
1529b6a19
hex1ccbd50

30195024 has 80 divisors (see below), whose sum is σ = 81453120. Its totient is φ = 9630720.

The previous prime is 30195013. The next prime is 30195029. The reversal of 30195024 is 42059103.

It is a Cunningham number, because it is equal to 54952-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30194985 and 30195003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30195029) 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 15 ways as a sum of consecutive naturals, for example, 131742 + ... + 131970.

It is an arithmetic number, because the mean of its divisors is an integer number (1018164).

Almost surely, 230195024 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 30195024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40726560).

30195024 is an abundant number, since it is smaller than the sum of its proper divisors (51258096).

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

30195024 is a wasteful number, since it uses less digits than its factorization.

30195024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 30195024 is about 5494.9999090082. Note that the first 4 decimals coincide. The cubic root of 30195024 is about 311.3951133791.

The spelling of 30195024 in words is "thirty million, one hundred ninety-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 67 82 123 134 164 201 229 246 268 328 402 458 492 536 656 687 804 916 984 1072 1374 1608 1832 1968 2747 2748 3216 3664 5494 5496 8241 9389 10988 10992 15343 16482 18778 21976 28167 30686 32964 37556 43952 46029 56334 61372 65928 75112 92058 112668 122744 131856 150224 184116 225336 245488 368232 450672 629063 736464 1258126 1887189 2516252 3774378 5032504 7548756 10065008 15097512 30195024