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307328 = 2774
BaseRepresentation
bin1001011000010000000
3120121120112
41023002000
534313303
610330452
72420000
oct1130200
9517515
10307328
1119a99a
12129a28
13a9b68
1480000
15610d8
hex4b080

307328 has 40 divisors (see below), whose sum is σ = 714255. Its totient is φ = 131712.

The previous prime is 307301. The next prime is 307337. The reversal of 307328 is 823703.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 153664 = 392^2 + 392^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=392.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 307328.

It is an unprimeable number.

307328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 43901 + ... + 43907.

307328 is a Friedman number, since it can be written as 8*(7*2)^(3+3^0), using all its digits and the basic arithmetic operations.

2307328 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 307328

307328 is an abundant number, since it is smaller than the sum of its proper divisors (406927).

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

307328 is an frugal number, since it uses more digits than its factorization.

307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 307328 is about 554.3717164503. The cubic root of 307328 is about 67.4839833969.

The spelling of 307328 in words is "three hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2401 2744 3136 4802 5488 6272 9604 10976 19208 21952 38416 43904 76832 153664 307328