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300003420 = 2235171971493
BaseRepresentation
bin10001111000011…
…011000001011100
3202220111202022210
4101320123001130
51103300102140
645434040420
710301662353
oct2170330134
9686452283
10300003420
11144387012
1284579110
134a1cc522
142bbb499a
151b50ed80
hex11e1b05c

300003420 has 96 divisors (see below), whose sum is σ = 894535488. Its totient is φ = 74862592.

The previous prime is 300003409. The next prime is 300003433. The reversal of 300003420 is 24300003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 300003396 and 300003405.

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, 200194 + ... + 201686.

It is an arithmetic number, because the mean of its divisors is an integer number (9318078).

Almost surely, 2300003420 is an apocalyptic number.

300003420 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 300003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447267744).

300003420 is an abundant number, since it is smaller than the sum of its proper divisors (594532068).

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

300003420 is a wasteful number, since it uses less digits than its factorization.

300003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1717 counting only the distinct ones).

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

The square root of 300003420 is about 17320.6068023034. The cubic root of 300003420 is about 669.4354939177.

Adding to 300003420 its reverse (24300003), we get a palindrome (324303423).

The spelling of 300003420 in words is "three hundred million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 197 204 255 340 394 510 591 788 985 1020 1182 1493 1970 2364 2955 2986 3349 3940 4479 5910 5972 6698 7465 8958 10047 11820 13396 14930 16745 17916 20094 22395 25381 29860 33490 40188 44790 50235 50762 66980 76143 89580 100470 101524 126905 152286 200940 253810 294121 304572 380715 507620 588242 761430 882363 1176484 1470605 1522860 1764726 2941210 3529452 4411815 5000057 5882420 8823630 10000114 15000171 17647260 20000228 25000285 30000342 50000570 60000684 75000855 100001140 150001710 300003420