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2330880 = 2835607
BaseRepresentation
bin1000111001000100000000
311101102100220
420321010000
51044042010
6121543040
725545366
oct10710400
94342326
102330880
111352252
12944a80
13637c26
14449636
15310970
hex239100

2330880 has 72 divisors (see below), whose sum is σ = 7456512. Its totient is φ = 620544.

The previous prime is 2330879. The next prime is 2330893. The reversal of 2330880 is 880332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2330880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3537 + ... + 4143.

22330880 is an apocalyptic number.

2330880 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 2330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728256).

2330880 is an abundant number, since it is smaller than the sum of its proper divisors (5125632).

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

2330880 is an equidigital number, since it uses as much as digits as its factorization.

2330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2330880 is about 1526.7219786196. The cubic root of 2330880 is about 132.5887384679.

It can be divided in two parts, 23 and 30880, that added together give a palindrome (30903).

The spelling of 2330880 in words is "two million, three hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 607 640 768 960 1214 1280 1821 1920 2428 3035 3642 3840 4856 6070 7284 9105 9712 12140 14568 18210 19424 24280 29136 36420 38848 48560 58272 72840 77696 97120 116544 145680 155392 194240 233088 291360 388480 466176 582720 776960 1165440 2330880