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181938312 = 2334280769
BaseRepresentation
bin10101101100000…
…10100010001000
3110200100102110000
422312002202020
5333034011222
630015323000
74336310253
oct1266024210
9420312400
10181938312
1193776a46
1250b20460
132b90220a
141a24009a
1510e8c9ac
hexad82888

181938312 has 40 divisors (see below), whose sum is σ = 509597550. Its totient is φ = 60645888.

The previous prime is 181938307. The next prime is 181938313. The reversal of 181938312 is 213839181.

It can be written as a sum of positive squares in only one way, i.e., 169364196 + 12574116 = 13014^2 + 3546^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (181938313) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 139737 + ... + 141032.

Almost surely, 2181938312 is an apocalyptic number.

181938312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

181938312 is an abundant number, since it is smaller than the sum of its proper divisors (327659238).

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

181938312 is a wasteful number, since it uses less digits than its factorization.

181938312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280787 (or 280774 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 181938312 is about 13488.4510600736. The cubic root of 181938312 is about 566.6410762761.

The spelling of 181938312 in words is "one hundred eighty-one million, nine hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 280769 561538 842307 1123076 1684614 2246152 2526921 3369228 5053842 6738456 7580763 10107684 15161526 20215368 22742289 30323052 45484578 60646104 90969156 181938312