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2420352 = 273211191
BaseRepresentation
bin1001001110111010000000
311112222002200
421032322000
51104422402
6123513200
726400264
oct11167200
94488080
102420352
1114034a0
12988800
1366987c
144700a4
1532c21c
hex24ee80

2420352 has 96 divisors (see below), whose sum is σ = 7637760. Its totient is φ = 729600.

The previous prime is 2420339. The next prime is 2420371. The reversal of 2420352 is 2530242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12577 + ... + 12767.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

22420352 is an apocalyptic number.

2420352 is a gapful number since it is divisible by the number (22) 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 2420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880).

2420352 is an abundant number, since it is smaller than the sum of its proper divisors (5217408).

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

2420352 is a wasteful number, since it uses less digits than its factorization.

2420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2420352 is about 1555.7480515816. The cubic root of 2420352 is about 134.2639780292.

Adding to 2420352 its reverse (2530242), we get a palindrome (4950594).

It can be divided in two parts, 2420 and 352, that added together give a palindrome (2772).

The spelling of 2420352 in words is "two million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 191 192 198 264 288 352 382 384 396 528 573 576 704 764 792 1056 1146 1152 1408 1528 1584 1719 2101 2112 2292 3056 3168 3438 4202 4224 4584 6112 6303 6336 6876 8404 9168 12224 12606 12672 13752 16808 18336 18909 24448 25212 27504 33616 36672 37818 50424 55008 67232 73344 75636 100848 110016 134464 151272 201696 220032 268928 302544 403392 605088 806784 1210176 2420352