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145328 = 2431293
BaseRepresentation
bin100011011110110000
321101100112
4203132300
514122303
63040452
71143461
oct433660
9241315
10145328
119a207
1270128
13511c1
143ad68
152d0d8
hex237b0

145328 has 20 divisors (see below), whose sum is σ = 291648. Its totient is φ = 70080.

The previous prime is 145307. The next prime is 145349. The reversal of 145328 is 823541.

145328 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 (145307) and next prime (145349).

145328 is an admirable number.

It is a super-2 number, since 2×1453282 = 42240455168, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145328.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 350 + ... + 642.

2145328 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 145328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824).

145328 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

145328 is a wasteful number, since it uses less digits than its factorization.

145328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 145328 is about 381.2190971082. The cubic root of 145328 is about 52.5754621534.

Adding to 145328 its reverse (823541), we get a palindrome (968869).

The spelling of 145328 in words is "one hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 293 496 586 1172 2344 4688 9083 18166 36332 72664 145328