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308305296 = 2432131571049
BaseRepresentation
bin10010011000000…
…101110110010000
3210111010112100200
4102120011312100
51112411232141
650332015200
710432360155
oct2230056620
9714115320
10308305296
11149037372
1287301500
134bb48190
142cd3622c
151c0eeab6
hex12605d90

308305296 has 120 divisors (see below), whose sum is σ = 936007800. Its totient is φ = 94169088.

The previous prime is 308305279. The next prime is 308305297. The reversal of 308305296 is 692503803.

It can be written as a sum of positive squares in 4 ways, for example, as 32080896 + 276224400 = 5664^2 + 16620^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 308305296.

It is not an unprimeable number, because it can be changed into a prime (308305297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293380 + ... + 294428.

It is an arithmetic number, because the mean of its divisors is an integer number (7800065).

Almost surely, 2308305296 is an apocalyptic number.

308305296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 308305296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468003900).

308305296 is an abundant number, since it is smaller than the sum of its proper divisors (627702504).

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

308305296 is a wasteful number, since it uses less digits than its factorization.

308305296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 308305296 is about 17558.6245474980. The cubic root of 308305296 is about 675.5544021378.

The spelling of 308305296 in words is "three hundred eight million, three hundred five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 157 208 234 312 314 468 471 624 628 936 942 1049 1256 1413 1872 1884 2041 2098 2512 2826 3147 3768 4082 4196 5652 6123 6294 7536 8164 8392 9441 11304 12246 12588 13637 16328 16784 18369 18882 22608 24492 25176 27274 32656 36738 37764 40911 48984 50352 54548 73476 75528 81822 97968 109096 122733 146952 151056 163644 164693 218192 245466 293904 327288 329386 490932 494079 654576 658772 981864 988158 1317544 1482237 1963728 1976316 2141009 2635088 2964474 3952632 4282018 5928948 6423027 7905264 8564036 11857896 12846054 17128072 19269081 23715792 25692108 34256144 38538162 51384216 77076324 102768432 154152648 308305296