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3000420 = 2232579211
BaseRepresentation
bin1011011100100001100100
312122102210200
423130201210
51232003140
6144150500
734334403
oct13344144
95572720
103000420
11176a295
121008430
138108c7
1458163a
153e4030
hex2dc864

3000420 has 72 divisors (see below), whose sum is σ = 9260160. Its totient is φ = 786240.

The previous prime is 3000409. The next prime is 3000463. The reversal of 3000420 is 240003.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14115 + ... + 14325.

Almost surely, 23000420 is an apocalyptic number.

3000420 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 3000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630080).

3000420 is an abundant number, since it is smaller than the sum of its proper divisors (6259740).

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

3000420 is a wasteful number, since it uses less digits than its factorization.

3000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3000420 is about 1732.1720468822. The cubic root of 3000420 is about 144.2316872147.

Adding to 3000420 its reverse (240003), we get a palindrome (3240423).

The spelling of 3000420 in words is "three million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 211 237 316 395 422 474 633 711 790 844 948 1055 1185 1266 1422 1580 1899 2110 2370 2532 2844 3165 3555 3798 4220 4740 6330 7110 7596 9495 12660 14220 16669 18990 33338 37980 50007 66676 83345 100014 150021 166690 200028 250035 300042 333380 500070 600084 750105 1000140 1500210 3000420