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240380 = 225717101
BaseRepresentation
bin111010101011111100
3110012201222
4322223330
530143010
65052512
72020550
oct725374
9405658
10240380
11154668
12b7138
138554a
1463860
154b355
hex3aafc

240380 has 48 divisors (see below), whose sum is σ = 616896. Its totient is φ = 76800.

The previous prime is 240379. The next prime is 240421. The reversal of 240380 is 83042.

240380 = T8 + T9 + ... + T112.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2330 + ... + 2430.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2240380 is an apocalyptic number.

240380 is a gapful number since it is divisible by the number (20) 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 240380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448).

240380 is an abundant number, since it is smaller than the sum of its proper divisors (376516).

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

240380 is a wasteful number, since it uses less digits than its factorization.

240380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 240380 is about 490.2856310356. The cubic root of 240380 is about 62.1774313893.

The spelling of 240380 in words is "two hundred forty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 101 119 140 170 202 238 340 404 476 505 595 707 1010 1190 1414 1717 2020 2380 2828 3434 3535 6868 7070 8585 12019 14140 17170 24038 34340 48076 60095 120190 240380