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117344 = 2519193
BaseRepresentation
bin11100101001100000
312221222002
4130221200
512223334
62303132
7666053
oct345140
9187862
10117344
1180187
1257aa8
1341546
1430a9a
1524b7e
hex1ca60

117344 has 24 divisors (see below), whose sum is σ = 244440. Its totient is φ = 55296.

The previous prime is 117331. The next prime is 117353. The reversal of 117344 is 443711.

It is a super-2 number, since 2×1173442 = 27539228672, which contains 22 as substring.

It is a plaindrome in base 5.

It is a congruent number.

It is an unprimeable number.

117344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 512 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (10185).

2117344 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 117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122220).

117344 is an abundant number, since it is smaller than the sum of its proper divisors (127096).

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

117344 is a wasteful number, since it uses less digits than its factorization.

117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 117344 is about 342.5551050561. Note that the first 3 decimals coincide. The cubic root of 117344 is about 48.9576198880.

The spelling of 117344 in words is "one hundred seventeen thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 19 32 38 76 152 193 304 386 608 772 1544 3088 3667 6176 7334 14668 29336 58672 117344