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306400224 = 25313245513
BaseRepresentation
bin10010010000110…
…100101111100000
3210100112202002110
4102100310233200
51111414301344
650223115320
710410234054
oct2220645740
9710482073
10306400224
11147a56029
1286742b40
134b62c010
142c99bc64
151bd753b9
hex12434be0

306400224 has 48 divisors (see below), whose sum is σ = 866173392. Its totient is φ = 94276608.

The previous prime is 306400217. The next prime is 306400229. The reversal of 306400224 is 422004603.

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

It is a self number, because there is not a number n which added to its sum of digits gives 306400224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306400229) 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, 121509 + ... + 124004.

It is an arithmetic number, because the mean of its divisors is an integer number (18045279).

Almost surely, 2306400224 is an apocalyptic number.

It is an amenable number.

306400224 is an abundant number, since it is smaller than the sum of its proper divisors (559773168).

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

306400224 is a wasteful number, since it uses less digits than its factorization.

306400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245539 (or 245531 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 306400224 is about 17504.2915880649. The cubic root of 306400224 is about 674.1600702269.

Adding to 306400224 its reverse (422004603), we get a palindrome (728404827).

The spelling of 306400224 in words is "three hundred six million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 245513 491026 736539 982052 1473078 1964104 2946156 3191669 3928208 5892312 6383338 7856416 9575007 11784624 12766676 19150014 23569248 25533352 38300028 51066704 76600056 102133408 153200112 306400224