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306064 = 24113747
BaseRepresentation
bin1001010101110010000
3120112211201
41022232100
534243224
610320544
72413213
oct1125620
9515751
10306064
11199a50
12129154
13a9405
147d77a
1560a44
hex4ab90

306064 has 40 divisors (see below), whose sum is σ = 678528. Its totient is φ = 132480.

The previous prime is 306049. The next prime is 306083. The reversal of 306064 is 460603.

306064 = T29 + T30 + ... + T122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6489 + ... + 6535.

2306064 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 306064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339264).

306064 is an abundant number, since it is smaller than the sum of its proper divisors (372464).

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

306064 is a wasteful number, since it uses less digits than its factorization.

306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 306064 is about 553.2305125352. The cubic root of 306064 is about 67.3913386599.

Adding to 306064 its reverse (460603), we get a palindrome (766667).

The spelling of 306064 in words is "three hundred six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 37 44 47 74 88 94 148 176 188 296 376 407 517 592 752 814 1034 1628 1739 2068 3256 3478 4136 6512 6956 8272 13912 19129 27824 38258 76516 153032 306064