Search a number
-
+
302780412 = 2232111375581
BaseRepresentation
bin10010000011000…
…000111111111100
3210002201211122100
4102003000333330
51110002433122
650013345100
710334406504
oct2203007774
9702654570
10302780412
11145a03450
1285498190
134a96250c
142c2d8a04
151b8acaac
hex120c0ffc

302780412 has 72 divisors (see below), whose sum is σ = 841185072. Its totient is φ = 91065600.

The previous prime is 302780411. The next prime is 302780417. The reversal of 302780412 is 214087203.

302780412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302780411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51462 + ... + 57042.

It is an arithmetic number, because the mean of its divisors is an integer number (11683126).

Almost surely, 2302780412 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 302780412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420592536).

302780412 is an abundant number, since it is smaller than the sum of its proper divisors (538404660).

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

302780412 is a wasteful number, since it uses less digits than its factorization.

302780412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 302780412 is about 17400.5865418382. The cubic root of 302780412 is about 671.4947041200.

The spelling of 302780412 in words is "three hundred two million, seven hundred eighty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 396 411 548 822 1233 1507 1644 2466 3014 4521 4932 5581 6028 9042 11162 13563 16743 18084 22324 27126 33486 50229 54252 61391 66972 100458 122782 184173 200916 245564 368346 552519 736692 764597 1105038 1529194 2210076 2293791 3058388 4587582 6881373 8410567 9175164 13762746 16821134 25231701 27525492 33642268 50463402 75695103 100926804 151390206 302780412