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348880 = 2457289
BaseRepresentation
bin1010101001011010000
3122201120111
41111023100
542131010
611251104
72652100
oct1251320
9581514
10348880
11219134
12149a94
13c2a4c
1491200
156d58a
hex552d0

348880 has 60 divisors (see below), whose sum is σ = 954180. Its totient is φ = 118272.

The previous prime is 348851. The next prime is 348883. The reversal of 348880 is 88843.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 254016 = 308^2 + 504^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3876 + ... + 3964.

It is an arithmetic number, because the mean of its divisors is an integer number (15903).

2348880 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 348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477090).

348880 is an abundant number, since it is smaller than the sum of its proper divisors (605300).

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

348880 is a wasteful number, since it uses less digits than its factorization.

348880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 348880 is about 590.6606470724. The cubic root of 348880 is about 70.3977358087.

The spelling of 348880 in words is "three hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 89 98 112 140 178 196 245 280 356 392 445 490 560 623 712 784 890 980 1246 1424 1780 1960 2492 3115 3560 3920 4361 4984 6230 7120 8722 9968 12460 17444 21805 24920 34888 43610 49840 69776 87220 174440 348880