Search a number
-
+
306325248 = 2831632447
BaseRepresentation
bin10010010000100…
…010011100000000
3210100101221020120
4102100202130000
51111404401443
650221340240
710406502345
oct2220423400
9710357216
10306325248
11147a04769
1286707680
134b603b58
142c97c7cc
151bd5d083
hex12422700

306325248 has 72 divisors (see below), whose sum is σ = 820608768. Its totient is φ = 101440512.

The previous prime is 306325241. The next prime is 306325297. The reversal of 306325248 is 842523603.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306325241) 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, 123961 + ... + 126407.

It is an arithmetic number, because the mean of its divisors is an integer number (11397344).

Almost surely, 2306325248 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 306325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410304384).

306325248 is an abundant number, since it is smaller than the sum of its proper divisors (514283520).

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

306325248 is a wasteful number, since it uses less digits than its factorization.

306325248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 306325248 is about 17502.1498108090. The cubic root of 306325248 is about 674.1050768502.

The spelling of 306325248 in words is "three hundred six million, three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 256 326 384 489 652 768 978 1304 1956 2447 2608 3912 4894 5216 7341 7824 9788 10432 14682 15648 19576 20864 29364 31296 39152 41728 58728 62592 78304 117456 125184 156608 234912 313216 398861 469824 626432 797722 939648 1196583 1595444 1879296 2393166 3190888 4786332 6381776 9572664 12763552 19145328 25527104 38290656 51054208 76581312 102108416 153162624 306325248