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60348 = 22347107
BaseRepresentation
bin1110101110111100
310001210010
432232330
53412343
61143220
7340641
oct165674
9101703
1060348
1141382
122ab10
1321612
1417dc8
1512d33
hexebbc

60348 has 24 divisors (see below), whose sum is σ = 145152. Its totient is φ = 19504.

The previous prime is 60343. The next prime is 60353. The reversal of 60348 is 84306.

60348 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (60343) and next prime (60353).

It is a super-2 number, since 2×603482 = 7283762208, which contains 22 as substring.

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 60348.

It is not an unprimeable number, because it can be changed into a prime (60343) by changing a digit.

60348 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

260348 is an apocalyptic number.

It is an amenable number.

60348 is an abundant number, since it is smaller than the sum of its proper divisors (84804).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

60348 is a wasteful number, since it uses less digits than its factorization.

60348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 60348 is about 245.6582992695. The cubic root of 60348 is about 39.2242179934.

The spelling of 60348 in words is "sixty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 47 94 107 141 188 214 282 321 428 564 642 1284 5029 10058 15087 20116 30174 60348