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30368340 = 22325168713
BaseRepresentation
bin111001111011…
…0001001010100
32010010212112100
41303312021110
530233241330
63002522100
7516061302
oct163661124
963125470
1030368340
1116162202
12a206330
1363a3842
144067272
1529ed060
hex1cf6254

30368340 has 36 divisors (see below), whose sum is σ = 92117844. Its totient is φ = 8098176.

The previous prime is 30368329. The next prime is 30368369. The reversal of 30368340 is 4386303.

It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 18507204 = 3444^2 + 4302^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 84177 + ... + 84536.

It is an arithmetic number, because the mean of its divisors is an integer number (2558829).

Almost surely, 230368340 is an apocalyptic number.

30368340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30368340 is an abundant number, since it is smaller than the sum of its proper divisors (61749504).

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

30368340 is a wasteful number, since it uses less digits than its factorization.

30368340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168728 (or 168723 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30368340 is about 5510.7476806691. The cubic root of 30368340 is about 311.9897679090.

The spelling of 30368340 in words is "thirty million, three hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 168713 337426 506139 674852 843565 1012278 1518417 1687130 2024556 2530695 3036834 3374260 5061390 6073668 7592085 10122780 15184170 30368340