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87348 = 22329251
BaseRepresentation
bin10101010100110100
311102211010
4111110310
510243343
61512220
7512442
oct252464
9142733
1087348
115a698
1242670
13309b1
1423b92
151ad33
hex15534

87348 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 28000.

The previous prime is 87337. The next prime is 87359. The reversal of 87348 is 84378.

It is an interprime number because it is at equal distance from previous prime (87337) and next prime (87359).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87348.

It is an unprimeable number.

87348 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

287348 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 87348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

87348 is an abundant number, since it is smaller than the sum of its proper divisors (124332).

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

87348 is a wasteful number, since it uses less digits than its factorization.

87348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 87348 is about 295.5469505848. The cubic root of 87348 is about 44.3694782523.

Adding to 87348 its sum of digits (30), we get a palindrome (87378).

It can be divided in two parts, 87 and 348, that multiplied together give a square (30276 = 1742).

The spelling of 87348 in words is "eighty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 251 348 502 753 1004 1506 3012 7279 14558 21837 29116 43674 87348