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307424 = 2513739
BaseRepresentation
bin1001011000011100000
3120121201002
41023003200
534314144
610331132
72420165
oct1130340
9517632
10307424
1119aa77
12129aa8
13a9c10
148006c
156114e
hex4b0e0

307424 has 24 divisors (see below), whose sum is σ = 652680. Its totient is φ = 141696.

The previous prime is 307423. The next prime is 307451. The reversal of 307424 is 424703.

It is a happy number.

307424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 307396 and 307405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (27195).

2307424 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 307424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326340).

307424 is an abundant number, since it is smaller than the sum of its proper divisors (345256).

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

307424 is a wasteful number, since it uses less digits than its factorization.

307424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 307424 is about 554.4582941935. The cubic root of 307424 is about 67.4910093192.

The spelling of 307424 in words is "three hundred seven thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 739 1478 2956 5912 9607 11824 19214 23648 38428 76856 153712 307424