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480348 = 2232111213
BaseRepresentation
bin1110101010001011100
3220101220200
41311101130
5110332343
614143500
74040301
oct1652134
9811820
10480348
112a8990
121b1b90
1313a83b
14c70a8
15974d3
hex7545c

480348 has 36 divisors (see below), whose sum is σ = 1325688. Its totient is φ = 145440.

The previous prime is 480343. The next prime is 480349. The reversal of 480348 is 843084.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4803482 = 461468402208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480341) by changing a digit.

480348 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 11 ways as a sum of consecutive naturals, for example, 211 + ... + 1002.

2480348 is an apocalyptic number.

It is an amenable number.

480348 is an abundant number, since it is smaller than the sum of its proper divisors (845340).

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

480348 is a wasteful number, since it uses less digits than its factorization.

480348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 480348 is about 693.0714248907. The cubic root of 480348 is about 78.3162701127.

It can be divided in two parts, 4803 and 48, that added together give a triangular number (4851 = T98).

The spelling of 480348 in words is "four hundred eighty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1213 2426 3639 4852 7278 10917 13343 14556 21834 26686 40029 43668 53372 80058 120087 160116 240174 480348