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304089552 = 24341318049
BaseRepresentation
bin10010001000000…
…000100111010000
3210012012100110000
4102020000213100
51110321331202
650101410000
710351501314
oct2210004720
9705170400
10304089552
11146717a88
1285a09900
134b000360
142c559b44
151ba6a91c
hex122009d0

304089552 has 100 divisors (see below), whose sum is σ = 947877700. Its totient is φ = 93560832.

The previous prime is 304089529. The next prime is 304089553. The reversal of 304089552 is 255980403.

It can be written as a sum of positive squares in 2 ways, for example, as 155151936 + 148937616 = 12456^2 + 12204^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304089553) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7824 + ... + 25872.

It is an arithmetic number, because the mean of its divisors is an integer number (9478777).

Almost surely, 2304089552 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 304089552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473938850).

304089552 is an abundant number, since it is smaller than the sum of its proper divisors (643788148).

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

304089552 is a wasteful number, since it uses less digits than its factorization.

304089552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18082 (or 18067 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 304089552 is about 17438.1636647899. The cubic root of 304089552 is about 672.4610993561.

The spelling of 304089552 in words is "three hundred four million, eighty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 18049 36098 54147 72196 108294 144392 162441 216588 234637 288784 324882 433176 469274 487323 649764 703911 866352 938548 974646 1299528 1407822 1461969 1877096 1949292 2111733 2599056 2815644 2923938 3754192 3898584 4223466 5631288 5847876 6335199 7797168 8446932 11262576 11695752 12670398 16893864 19005597 23391504 25340796 33787728 38011194 50681592 76022388 101363184 152044776 304089552