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348480 = 26325112
BaseRepresentation
bin1010101000101000000
3122201000200
41111011000
542122410
611245200
72650656
oct1250500
9581020
10348480
11218900
12149800
13c2802
1490dd6
156d3c0
hex55140

348480 has 126 divisors (see below), whose sum is σ = 1317498. Its totient is φ = 84480.

The previous prime is 348463. The next prime is 348487. The reversal of 348480 is 84843.

348480 = 512 + 522 + ... + 1052.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 69696 = 528^2 + 264^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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 348480.

It is not an unprimeable number, because it can be changed into a prime (348487) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31675 + ... + 31685.

2348480 is an apocalyptic number.

348480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658749).

348480 is an abundant number, since it is smaller than the sum of its proper divisors (969018).

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

348480 is a wasteful number, since it uses less digits than its factorization.

348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 21 counting only the distinct ones).

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

The square root of 348480 is about 590.3219460599. The cubic root of 348480 is about 70.3708212413.

It can be divided in two parts, 348 and 480, that added together give a palindrome (828).

The spelling of 348480 in words is "three hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 121 132 144 160 165 176 180 192 198 220 240 242 264 288 320 330 352 360 363 396 440 480 484 495 528 576 605 660 704 720 726 792 880 960 968 990 1056 1089 1210 1320 1440 1452 1584 1760 1815 1936 1980 2112 2178 2420 2640 2880 2904 3168 3520 3630 3872 3960 4356 4840 5280 5445 5808 6336 7260 7744 7920 8712 9680 10560 10890 11616 14520 15840 17424 19360 21780 23232 29040 31680 34848 38720 43560 58080 69696 87120 116160 174240 348480