Search a number
-
+
306412320 = 2535638359
BaseRepresentation
bin10010010000110…
…111101100100000
3210100120100200110
4102100313230200
51111420143240
650223251320
710410314244
oct2220675440
9710510613
10306412320
11147a64125
1286749b40
134b634686
142c9a2424
151bd78c80
hex12437b20

306412320 has 48 divisors (see below), whose sum is σ = 965200320. Its totient is φ = 81709824.

The previous prime is 306412313. The next prime is 306412321. The reversal of 306412320 is 23214603.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (306412321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318700 + ... + 319659.

It is an arithmetic number, because the mean of its divisors is an integer number (20108340).

Almost surely, 2306412320 is an apocalyptic number.

306412320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306412320 is an abundant number, since it is smaller than the sum of its proper divisors (658788000).

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

306412320 is a wasteful number, since it uses less digits than its factorization.

306412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638377 (or 638369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 306412320 is about 17504.6370999230. The cubic root of 306412320 is about 674.1689415574.

Adding to 306412320 its reverse (23214603), we get a palindrome (329626923).

The spelling of 306412320 in words is "three hundred six million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 638359 1276718 1915077 2553436 3191795 3830154 5106872 6383590 7660308 9575385 10213744 12767180 15320616 19150770 20427488 25534360 30641232 38301540 51068720 61282464 76603080 102137440 153206160 306412320