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145440306 = 23311222259
BaseRepresentation
bin10001010101100…
…11111000110010
3101010200010121000
420222303320302
5244213042211
622233142430
73414136134
oct1052637062
9333603530
10145440306
1175108500
124085aa16
132419366b
141545d054
15cb7d656
hex8ab3e32

145440306 has 48 divisors (see below), whose sum is σ = 355269600. Its totient is φ = 44070840.

The previous prime is 145440301. The next prime is 145440311. The reversal of 145440306 is 603044541.

145440306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145440301) and next prime (145440311).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145440306.

It is not an unprimeable number, because it can be changed into a prime (145440301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4596 + ... + 17663.

It is an arithmetic number, because the mean of its divisors is an integer number (7401450).

Almost surely, 2145440306 is an apocalyptic number.

145440306 is an abundant number, since it is smaller than the sum of its proper divisors (209829294).

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

145440306 is a wasteful number, since it uses less digits than its factorization.

145440306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22292 (or 22275 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 145440306 is about 12059.8634320626. The cubic root of 145440306 is about 525.8900168589.

Adding to 145440306 its reverse (603044541), we get a palindrome (748484847).

The spelling of 145440306 in words is "one hundred forty-five million, four hundred forty thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 22259 44518 66777 133554 200331 244849 400662 489698 600993 734547 1201986 1469094 2203641 2693339 4407282 5386678 6610923 8080017 13221846 16160034 24240051 48480102 72720153 145440306