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300400212 = 223729127971
BaseRepresentation
bin10001111001111…
…011111001010100
3202221020220121210
4101321323321110
51103400301322
645450341420
710305234240
oct2171737124
9687226553
10300400212
11144628142
128472a870
134a30b008
142bc79420
151b58c70c
hex11e7be54

300400212 has 96 divisors (see below), whose sum is σ = 836075520. Its totient is φ = 82131840.

The previous prime is 300400201. The next prime is 300400213. The reversal of 300400212 is 212004003.

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 (300400213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308887 + ... + 309857.

It is an arithmetic number, because the mean of its divisors is an integer number (8709120).

Almost surely, 2300400212 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 300400212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418037760).

300400212 is an abundant number, since it is smaller than the sum of its proper divisors (535675308).

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

300400212 is a wasteful number, since it uses less digits than its factorization.

300400212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 300400212 is about 17332.0573504705. The cubic root of 300400212 is about 669.7305012506.

Adding to 300400212 its reverse (212004003), we get a palindrome (512404215).

The spelling of 300400212 in words is "three hundred million, four hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 127 174 203 254 348 381 406 508 609 762 812 889 971 1218 1524 1778 1942 2436 2667 2913 3556 3683 3884 5334 5826 6797 7366 10668 11049 11652 13594 14732 20391 22098 25781 27188 28159 40782 44196 51562 56318 77343 81564 84477 103124 112636 123317 154686 168954 197113 246634 309372 337908 369951 394226 493268 591339 739902 788452 863219 1182678 1479804 1726438 2365356 2589657 3452876 3576193 5179314 7152386 10358628 10728579 14304772 21457158 25033351 42914316 50066702 75100053 100133404 150200106 300400212