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308427444 = 223213769857
BaseRepresentation
bin10010011000100…
…011101010110100
3210111100201220200
4102120203222310
51112424134234
650334400500
710433406243
oct2230435264
9714321820
10308427444
11149110116
1287360130
134bb8b960
142cd6895a
151c125d99
hex12623ab4

308427444 has 72 divisors (see below), whose sum is σ = 841680840. Its totient is φ = 94666752.

The previous prime is 308427403. The next prime is 308427451. The reversal of 308427444 is 444724803.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46376100 + 262051344 = 6810^2 + 16188^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 308427399 and 308427408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359464 + ... + 360320.

Almost surely, 2308427444 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 308427444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420840420).

308427444 is an abundant number, since it is smaller than the sum of its proper divisors (533253396).

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

308427444 is a wasteful number, since it uses less digits than its factorization.

308427444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 308427444 is about 17562.1024937221. The cubic root of 308427444 is about 675.6436067076.

The spelling of 308427444 in words is "three hundred eight million, four hundred twenty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 769 857 1538 1714 2307 2571 3076 3428 4614 5142 6921 7713 9228 9997 10284 11141 13842 15426 19994 22282 27684 29991 30852 33423 39988 44564 59982 66846 89973 100269 119964 133692 179946 200538 359892 401076 659033 1318066 1977099 2636132 3954198 5931297 7908396 8567429 11862594 17134858 23725188 25702287 34269716 51404574 77106861 102809148 154213722 308427444