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309148452 = 22326721913
BaseRepresentation
bin10010011011010…
…011101100100100
3210112201100221200
4102123103230210
51113120222302
650402042500
710442501304
oct2233235444
9715640850
10309148452
11149562898
1287649430
134c081ba2
142d0b5604
151c21981c
hex126d3b24

309148452 has 54 divisors (see below), whose sum is σ = 793710918. Its totient is φ = 101458368.

The previous prime is 309148421. The next prime is 309148453. The reversal of 309148452 is 254841903.

309148452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 298805796 + 10342656 = 17286^2 + 3216^2 .

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

It is not an unprimeable number, because it can be changed into a prime (309148453) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 160648 + ... + 162560.

Almost surely, 2309148452 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 309148452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396855459).

309148452 is an abundant number, since it is smaller than the sum of its proper divisors (484562466).

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

309148452 is a wasteful number, since it uses less digits than its factorization.

309148452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 309148452 is about 17582.6178938177. The cubic root of 309148452 is about 676.1696789380.

The spelling of 309148452 in words is "three hundred nine million, one hundred forty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 1913 2412 3826 4489 5739 7652 8978 11478 13467 17217 17956 22956 26934 34434 40401 53868 68868 80802 128171 161604 256342 384513 512684 769026 1153539 1538052 2307078 4614156 8587457 17174914 25762371 34349828 51524742 77287113 103049484 154574226 309148452