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304285248 = 263479743
BaseRepresentation
bin10010001000110…
…000011001000000
3210012120021220000
4102020300121000
51110344111443
650105520000
710353245001
oct2210603100
9705507800
10304285248
11146841013
1285aa3000
134b06b457
142c5ab1a8
151baa88d3
hex12230640

304285248 has 140 divisors (see below), whose sum is σ = 914643840. Its totient is φ = 100009728.

The previous prime is 304285213. The next prime is 304285249. The reversal of 304285248 is 842582403.

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

It is not an unprimeable number, because it can be changed into a prime (304285249) 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, 409165 + ... + 409907.

Almost surely, 2304285248 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 304285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457321920).

304285248 is an abundant number, since it is smaller than the sum of its proper divisors (610358592).

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

304285248 is an equidigital number, since it uses as much as digits as its factorization.

304285248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 304285248 is about 17443.7739036024. The cubic root of 304285248 is about 672.6053219234.

The spelling of 304285248 in words is "three hundred four million, two hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 144 158 162 192 216 237 288 316 324 432 474 576 632 648 711 743 864 948 1264 1296 1422 1486 1728 1896 2133 2229 2528 2592 2844 2972 3792 4266 4458 5056 5184 5688 5944 6399 6687 7584 8532 8916 11376 11888 12798 13374 15168 17064 17832 20061 22752 23776 25596 26748 34128 35664 40122 45504 47552 51192 53496 58697 60183 68256 71328 80244 102384 106992 117394 120366 136512 142656 160488 176091 204768 213984 234788 240732 320976 352182 409536 427968 469576 481464 528273 641952 704364 939152 962928 1056546 1283904 1408728 1584819 1878304 1925856 2113092 2817456 3169638 3756608 3851712 4226184 4754457 5634912 6339276 8452368 9508914 11269824 12678552 16904736 19017828 25357104 33809472 38035656 50714208 76071312 101428416 152142624 304285248