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145824345 = 32513612381
BaseRepresentation
bin10001011000100…
…01101001011001
3101011101122101200
420230101221121
5244312334340
622245304413
73420325602
oct1054215131
9334348350
10145824345
117534aa97
1240a05109
13242993c4
141551cda9
15cc07330
hex8b11a59

145824345 has 24 divisors (see below), whose sum is σ = 253054152. Its totient is φ = 77683200.

The previous prime is 145824323. The next prime is 145824379. The reversal of 145824345 is 543428541.

It is a happy number.

145824345 is a `hidden beast` number, since 145 + 82 + 434 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 137804121 = 2832^2 + 11739^2 .

It is not a de Polignac number, because 145824345 - 25 = 145824313 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60055 + ... + 62435.

It is an arithmetic number, because the mean of its divisors is an integer number (10543923).

Almost surely, 2145824345 is an apocalyptic number.

145824345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145824345 is a deficient number, since it is larger than the sum of its proper divisors (107229807).

145824345 is a wasteful number, since it uses less digits than its factorization.

145824345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3750 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 145824345 is about 12075.7751304005. The cubic root of 145824345 is about 526.3524855738.

The spelling of 145824345 in words is "one hundred forty-five million, eight hundred twenty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 1361 2381 4083 6805 7143 11905 12249 20415 21429 35715 61245 107145 3240541 9721623 16202705 29164869 48608115 145824345