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376884 = 223219229
BaseRepresentation
bin1011100000000110100
3201010222200
41130000310
544030014
612024500
73126534
oct1340064
9633880
10376884
11238182
12162130
13102711
149b4c4
1576a09
hex5c034

376884 has 54 divisors (see below), whose sum is σ = 1040130. Its totient is φ = 114912.

The previous prime is 376853. The next prime is 376889. The reversal of 376884 is 488673.

It can be written as a sum of positive squares in only one way, i.e., 324900 + 51984 = 570^2 + 228^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12982 + ... + 13010.

2376884 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 376884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520065).

376884 is an abundant number, since it is smaller than the sum of its proper divisors (663246).

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

376884 is a wasteful number, since it uses less digits than its factorization.

376884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 376884 is about 613.9087880133. The cubic root of 376884 is about 72.2330412019.

The spelling of 376884 in words is "three hundred seventy-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 361 522 551 684 722 1044 1083 1102 1444 1653 2166 2204 3249 3306 4332 4959 6498 6612 9918 10469 12996 19836 20938 31407 41876 62814 94221 125628 188442 376884