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146488338 = 2342931181
BaseRepresentation
bin10001011101100…
…11110000010010
3101012122101020000
420232303300102
5300000111323
622311430430
73426062463
oct1056636022
9335571200
10146488338
1175763947
1241085416
132446c6b9
1415652d6a
15ccd8e43
hex8bb3c12

146488338 has 40 divisors (see below), whose sum is σ = 339571980. Its totient is φ = 47144160.

The previous prime is 146488313. The next prime is 146488339. The reversal of 146488338 is 833884641.

It can be written as a sum of positive squares in 2 ways, for example, as 133333209 + 13155129 = 11547^2 + 3627^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146488293 and 146488302.

It is not an unprimeable number, because it can be changed into a prime (146488339) 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 19 ways as a sum of consecutive naturals, for example, 10893 + ... + 20288.

Almost surely, 2146488338 is an apocalyptic number.

146488338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

146488338 is an abundant number, since it is smaller than the sum of its proper divisors (193083642).

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

146488338 is a wasteful number, since it uses less digits than its factorization.

146488338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31224 (or 31215 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 146488338 is about 12103.2366745429. The cubic root of 146488338 is about 527.1501695821.

The spelling of 146488338 in words is "one hundred forty-six million, four hundred eighty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 31181 62362 93543 187086 280629 561258 841887 904249 1683774 1808498 2525661 2712747 5051322 5425494 8138241 16276482 24414723 48829446 73244169 146488338