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480340 = 22574773
BaseRepresentation
bin1110101010001010100
3220101220101
41311101110
5110332330
614143444
74040260
oct1652124
9811811
10480340
112a8983
121b1b84
1313a833
14c70a0
15974ca
hex75454

480340 has 48 divisors (see below), whose sum is σ = 1193472. Its totient is φ = 158976.

The previous prime is 480329. The next prime is 480341. The reversal of 480340 is 43084.

480340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6544 + ... + 6616.

It is an arithmetic number, because the mean of its divisors is an integer number (24864).

2480340 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 480340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596736).

480340 is an abundant number, since it is smaller than the sum of its proper divisors (713132).

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

480340 is a wasteful number, since it uses less digits than its factorization.

480340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 480340 is about 693.0656534557. The cubic root of 480340 is about 78.3158353351.

It can be divided in two parts, 480 and 340, that added together give a triangular number (820 = T40).

The spelling of 480340 in words is "four hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 73 94 140 146 188 235 292 329 365 470 511 658 730 940 1022 1316 1460 1645 2044 2555 3290 3431 5110 6580 6862 10220 13724 17155 24017 34310 48034 68620 96068 120085 240170 480340