Search a number
-
+
346480 = 2456171
BaseRepresentation
bin1010100100101110000
3122121021121
41110211300
542041410
611232024
72642101
oct1244560
9577247
10346480
11217352
12148614
13c1924
14903a8
156c9da
hex54970

346480 has 40 divisors (see below), whose sum is σ = 830304. Its totient is φ = 134400.

The previous prime is 346469. The next prime is 346501. The reversal of 346480 is 84643.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

346480 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, 4845 + ... + 4915.

2346480 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 346480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415152).

346480 is an abundant number, since it is smaller than the sum of its proper divisors (483824).

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

346480 is a wasteful number, since it uses less digits than its factorization.

346480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 346480 is about 588.6255176256. The cubic root of 346480 is about 70.2359385575.

The spelling of 346480 in words is "three hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 71 80 122 142 244 284 305 355 488 568 610 710 976 1136 1220 1420 2440 2840 4331 4880 5680 8662 17324 21655 34648 43310 69296 86620 173240 346480