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30276 = 2232292
BaseRepresentation
bin111011001000100
31112112100
413121010
51432101
6352100
7154161
oct73104
945470
1030276
1120824
1215630
1310a1c
14b068
158e86
hex7644

30276 has 27 divisors (see below), whose sum is σ = 79261. Its totient is φ = 9744.

The previous prime is 30271. The next prime is 30293. The reversal of 30276 is 67203.

30276 = T173 + T174.

The square root of 30276 is 174.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 14400 = 126^2 + 120^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (30271) by changing a digit.

30276 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 8 ways as a sum of consecutive naturals, for example, 1030 + ... + 1058.

230276 is an apocalyptic number.

30276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30276 is the 174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30276

30276 is an abundant number, since it is smaller than the sum of its proper divisors (48985).

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

30276 is a wasteful number, since it uses less digits than its factorization.

30276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The cubic root of 30276 is about 31.1673227896.

Adding to 30276 its reverse (67203), we get a palindrome (97479).

It can be divided in two parts, 302 and 76, that added together give a triangular number (378 = T27).

The spelling of 30276 in words is "thirty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 15138 30276