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300880020 = 223572331147
BaseRepresentation
bin10001111011110…
…001000010010100
3202222011021210110
4101323301002110
51104011130040
645504523020
710312303140
oct2173610224
9688137713
10300880020
11144925681
1284920470
134a44851c
142bd62220
151b634980
hex11ef1094

300880020 has 96 divisors (see below), whose sum is σ = 1004709888. Its totient is φ = 65780352.

The previous prime is 300879989. The next prime is 300880031. The reversal of 300880020 is 20088003.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 5914 + ... + 25233.

It is an arithmetic number, because the mean of its divisors is an integer number (10465728).

Almost surely, 2300880020 is an apocalyptic number.

300880020 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 300880020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502354944).

300880020 is an abundant number, since it is smaller than the sum of its proper divisors (703829868).

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

300880020 is a wasteful number, since it uses less digits than its factorization.

300880020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31189 (or 31187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 300880020 is about 17345.8934621426. The cubic root of 300880020 is about 670.0868826217.

It can be divided in two parts, 3008 and 80020, that added together give a triangular number (83028 = T407).

The spelling of 300880020 in words is "three hundred million, eight hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 31147 62294 93441 124588 155735 186882 218029 311470 373764 436058 467205 622940 654087 716381 872116 934410 1090145 1308174 1432762 1868820 2149143 2180290 2616348 2865524 3270435 3581905 4298286 4360580 5014667 6540870 7163810 8596572 10029334 10745715 13081740 14327620 15044001 20058668 21491430 25073335 30088002 42982860 50146670 60176004 75220005 100293340 150440010 300880020