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300245940 = 2236520593
BaseRepresentation
bin10001111001010…
…110001110110100
3202220222002000000
4101321112032310
51103330332230
645443151300
710304022411
oct2171261664
9686862000
10300245940
11144532245
1284675530
134a285a27
142bc39108
151b55bb60
hex11e563b4

300245940 has 84 divisors (see below), whose sum is σ = 945388164. Its totient is φ = 80061696.

The previous prime is 300245921. The next prime is 300245947. The reversal of 300245940 is 49542003.

It can be written as a sum of positive squares in 2 ways, for example, as 218921616 + 81324324 = 14796^2 + 9018^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300245947) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4284 + ... + 24876.

It is an arithmetic number, because the mean of its divisors is an integer number (11254621).

Almost surely, 2300245940 is an apocalyptic number.

300245940 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 300245940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472694082).

300245940 is an abundant number, since it is smaller than the sum of its proper divisors (645142224).

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

300245940 is a wasteful number, since it uses less digits than its factorization.

300245940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20620 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 300245940 is about 17327.6062974665. The cubic root of 300245940 is about 669.6158338261.

Adding to 300245940 its reverse (49542003), we get a palindrome (349787943).

The spelling of 300245940 in words is "three hundred million, two hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 20593 41186 61779 82372 102965 123558 185337 205930 247116 308895 370674 411860 556011 617790 741348 926685 1112022 1235580 1668033 1853370 2224044 2780055 3336066 3706740 5004099 5560110 6672132 8340165 10008198 11120220 15012297 16680330 20016396 25020495 30024594 33360660 50040990 60049188 75061485 100081980 150122970 300245940