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309395424 = 25313247913
BaseRepresentation
bin10010011100001…
…111111111100000
3210120011220201210
4102130033333200
51113201123144
650411230120
710444550322
oct2234177740
9716156653
10309395424
111497113a8
1287748340
134c13a420
142d13b612
151c267ab9
hex1270ffe0

309395424 has 48 divisors (see below), whose sum is σ = 874640592. Its totient is φ = 95198208.

The previous prime is 309395423. The next prime is 309395431. The reversal of 309395424 is 424593903.

309395424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3093954243 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309395423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122709 + ... + 125204.

It is an arithmetic number, because the mean of its divisors is an integer number (18221679).

Almost surely, 2309395424 is an apocalyptic number.

It is an amenable number.

309395424 is an abundant number, since it is smaller than the sum of its proper divisors (565245168).

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

309395424 is a wasteful number, since it uses less digits than its factorization.

309395424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247939 (or 247931 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 309395424 is about 17589.6396779468. The cubic root of 309395424 is about 676.3496901128.

It can be divided in two parts, 30939 and 5424, that added together give a palindrome (36363).

The spelling of 309395424 in words is "three hundred nine million, three hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 247913 495826 743739 991652 1487478 1983304 2974956 3222869 3966608 5949912 6445738 7933216 9668607 11899824 12891476 19337214 23799648 25782952 38674428 51565904 77348856 103131808 154697712 309395424