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181340364 = 223294391187
BaseRepresentation
bin10101100111100…
…00100011001100
3110122020001012210
422303300203030
5332410342424
625554430420
74331240052
oct1263604314
9418201183
10181340364
11933a8777
1250892410
132b752cba
141a1261d2
1510dc0729
hexacf08cc

181340364 has 48 divisors (see below), whose sum is σ = 439084800. Its totient is φ = 58180416.

The previous prime is 181340339. The next prime is 181340371. The reversal of 181340364 is 463043181.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 152179 + ... + 153365.

It is an arithmetic number, because the mean of its divisors is an integer number (9147600).

Almost surely, 2181340364 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 181340364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

181340364 is an abundant number, since it is smaller than the sum of its proper divisors (257744436).

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

181340364 is a wasteful number, since it uses less digits than its factorization.

181340364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 181340364 is about 13466.2676343521. The cubic root of 181340364 is about 566.0196316448.

The spelling of 181340364 in words is "one hundred eighty-one million, three hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 439 878 1187 1317 1756 2374 2634 3561 4748 5268 7122 12731 14244 25462 34423 38193 50924 68846 76386 103269 137692 152772 206538 413076 521093 1042186 1563279 2084372 3126558 6253116 15111697 30223394 45335091 60446788 90670182 181340364