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2428341400 = 235216374489
BaseRepresentation
bin1001000010111101…
…1000110010011000
320021020100112011101
42100233120302120
514433123411100
61040543441144
7114114363352
oct22057306230
96236315141
102428341400
11103680a921
125792b61b4
132c912ca04
1419071a0d2
15e32c386a
hex90bd8c98

2428341400 has 48 divisors (see below), whose sum is σ = 5680607400. Its totient is φ = 965364480.

The previous prime is 2428341337. The next prime is 2428341491. The reversal of 2428341400 is 41438242.

It is a happy number.

It is a congruent number.

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, 4645 + ... + 69844.

Almost surely, 22428341400 is an apocalyptic number.

2428341400 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 2428341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840303700).

2428341400 is an abundant number, since it is smaller than the sum of its proper divisors (3252266000).

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

2428341400 is a wasteful number, since it uses less digits than its factorization.

2428341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74668 (or 74659 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 2428341400 is about 49278.2041068868. The cubic root of 2428341400 is about 1344.1154754216.

Adding to 2428341400 its reverse (41438242), we get a palindrome (2469779642).

The spelling of 2428341400 in words is "two billion, four hundred twenty-eight million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1304 1630 3260 4075 6520 8150 16300 32600 74489 148978 297956 372445 595912 744890 1489780 1862225 2979560 3724450 7448900 12141707 14897800 24283414 48566828 60708535 97133656 121417070 242834140 303542675 485668280 607085350 1214170700 2428341400