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145626345 = 3251011792
BaseRepresentation
bin10001010111000…
…01010011101001
3101011000120210100
420223201103221
5244240020340
622241140013
73415542414
oct1053412351
9334016710
10145626345
1175225257
124092a609
132422a247
14154aab7b
15cbb8830
hex8ae14e9

145626345 has 36 divisors (see below), whose sum is σ = 256350276. Its totient is φ = 76468800.

The previous prime is 145626343. The next prime is 145626347. The reversal of 145626345 is 543626541.

145626345 is a `hidden beast` number, since 14 + 5 + 6 + 2 + 634 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (145626343) and next prime (145626347).

It can be written as a sum of positive squares in 2 ways, for example, as 104101209 + 41525136 = 10203^2 + 6444^2 .

It is not a de Polignac number, because 145626345 - 21 = 145626343 is a prime.

Its product of digits (86400) is a multiple of the sum of its prime divisors (288).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145626343) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 813466 + ... + 813644.

It is an arithmetic number, because the mean of its divisors is an integer number (7120841).

Almost surely, 2145626345 is an apocalyptic number.

145626345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145626345 is a deficient number, since it is larger than the sum of its proper divisors (110723931).

145626345 is a wasteful number, since it uses less digits than its factorization.

145626345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 288 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 145626345 is about 12067.5741141292. The cubic root of 145626345 is about 526.1141508919.

The spelling of 145626345 in words is "one hundred forty-five million, six hundred twenty-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 101 179 303 505 537 895 909 1515 1611 2685 4545 8055 18079 32041 54237 90395 96123 160205 162711 271185 288369 480615 813555 1441845 3236141 9708423 16180705 29125269 48542115 145626345