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30352500 = 2232541971
BaseRepresentation
bin111001111001…
…0010001110100
32010010001210200
41303302101310
530232240000
63002320500
7515664153
oct163622164
963101720
1030352500
1116151312
12a1b9130
136399579
14406159a
1529e8500
hex1cf2474

30352500 has 180 divisors, whose sum is σ = 102342240. Its totient is φ = 7560000.

The previous prime is 30352499. The next prime is 30352501. The reversal of 30352500 is 525303.

It is an interprime number because it is at equal distance from previous prime (30352499) and next prime (30352501).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30352501) 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 59 ways as a sum of consecutive naturals, for example, 427465 + ... + 427535.

It is an arithmetic number, because the mean of its divisors is an integer number (568568).

Almost surely, 230352500 is an apocalyptic number.

30352500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51171120).

30352500 is an abundant number, since it is smaller than the sum of its proper divisors (71989740).

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

30352500 is a wasteful number, since it uses less digits than its factorization.

30352500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 30352500 is about 5509.3103016621. The cubic root of 30352500 is about 311.9355142861.

Adding to 30352500 its reverse (525303), we get a palindrome (30877803).

The spelling of 30352500 in words is "thirty million, three hundred fifty-two thousand, five hundred".