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305425296 = 24331125843
BaseRepresentation
bin10010001101000…
…110101110010000
3210021201012202000
4102031012232100
51111142102141
650150154000
710366033521
oct2215065620
9707635660
10305425296
1114744a600
1286352900
134b37a337
142c7c6848
151bc315b6
hex12346b90

305425296 has 120 divisors (see below), whose sum is σ = 963792480. Its totient is φ = 92537280.

The previous prime is 305425291. The next prime is 305425301. The reversal of 305425296 is 692524503.

It is an interprime number because it is at equal distance from previous prime (305425291) and next prime (305425301).

It is a super-2 number, since 2×3054252962 = 186569222873375232, which contains 22 as substring.

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 305425296.

It is not an unprimeable number, because it can be changed into a prime (305425291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49351 + ... + 55193.

It is an arithmetic number, because the mean of its divisors is an integer number (8031604).

Almost surely, 2305425296 is an apocalyptic number.

305425296 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 305425296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481896240).

305425296 is an abundant number, since it is smaller than the sum of its proper divisors (658367184).

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

305425296 is a wasteful number, since it uses less digits than its factorization.

305425296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 305425296 is about 17476.4211439299. The cubic root of 305425296 is about 673.4442789006. Note that the first 3 decimals are identical.

Adding to 305425296 its reverse (692524503), we get a palindrome (997949799).

The spelling of 305425296 in words is "three hundred five million, four hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 5843 6534 8712 11686 13068 17424 17529 23372 26136 35058 46744 52272 52587 64273 70116 93488 105174 128546 140232 157761 192819 210348 257092 280464 315522 385638 420696 514184 578457 631044 707003 771276 841392 1028368 1156914 1262088 1414006 1542552 1735371 2121009 2313828 2524176 2828012 3085104 3470742 4242018 4627656 5656024 6363027 6941484 8484036 9255312 11312048 12726054 13882968 16968072 19089081 25452108 27765936 33936144 38178162 50904216 76356324 101808432 152712648 305425296