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30300240 = 2435191661
BaseRepresentation
bin111001110010…
…1100001010000
32010000102010010
41303211201100
530224101430
63001234520
7515355615
oct163454120
963012103
1030300240
1116116023
12a192a40
13637b849
14404a50c
1529d7cb0
hex1ce5850

30300240 has 80 divisors (see below), whose sum is σ = 94565376. Its totient is φ = 8025600.

The previous prime is 30300211. The next prime is 30300241. The reversal of 30300240 is 4200303.

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

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 (30300241) 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 15 ways as a sum of consecutive naturals, for example, 45510 + ... + 46170.

Almost surely, 230300240 is an apocalyptic number.

30300240 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 30300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47282688).

30300240 is an abundant number, since it is smaller than the sum of its proper divisors (64265136).

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

30300240 is a wasteful number, since it uses less digits than its factorization.

30300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 30300240 is about 5504.5653779386. The cubic root of 30300240 is about 311.7563844518.

Adding to 30300240 its reverse (4200303), we get a palindrome (34500543).

The spelling of 30300240 in words is "thirty million, three hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 661 764 955 1146 1322 1528 1910 1983 2292 2644 2865 3056 3305 3820 3966 4584 5288 5730 6610 7640 7932 9168 9915 10576 11460 13220 15280 15864 19830 22920 26440 31728 39660 45840 52880 79320 126251 158640 252502 378753 505004 631255 757506 1010008 1262510 1515012 1893765 2020016 2525020 3030024 3787530 5050040 6060048 7575060 10100080 15150120 30300240