Search a number
-
+
302412420 = 22335560023
BaseRepresentation
bin10010000001100…
…111001010000100
3210002001010212000
4102001213022010
51104404144140
650001425300
710331314602
oct2201471204
9702033760
10302412420
11145781a22
128533b230
134a863b7b
142c240872
151b838a30
hex12067284

302412420 has 48 divisors (see below), whose sum is σ = 940840320. Its totient is φ = 80643168.

The previous prime is 302412413. The next prime is 302412427. The reversal of 302412420 is 24214203.

302412420 is a `hidden beast` number, since 3 + 0 + 241 + 2 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (302412413) and next prime (302412427).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 302412393 and 302412402.

It is not an unprimeable number, because it can be changed into a prime (302412427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279472 + ... + 280551.

It is an arithmetic number, because the mean of its divisors is an integer number (19600840).

Almost surely, 2302412420 is an apocalyptic number.

302412420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

302412420 is an abundant number, since it is smaller than the sum of its proper divisors (638427900).

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

302412420 is a wasteful number, since it uses less digits than its factorization.

302412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560041 (or 560033 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 302412420 is about 17390.0092006876. The cubic root of 302412420 is about 671.2225543536. Note that the first 3 decimals are identical.

Adding to 302412420 its reverse (24214203), we get a palindrome (326626623).

The spelling of 302412420 in words is "three hundred two million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 560023 1120046 1680069 2240092 2800115 3360138 5040207 5600230 6720276 8400345 10080414 11200460 15120621 16800690 20160828 25201035 30241242 33601380 50402070 60482484 75603105 100804140 151206210 302412420