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2428850340 = 2233572922157
BaseRepresentation
bin1001000011000101…
…0101000010100100
320021021022101022000
42100301111002210
514433241202330
61041002405300
7114121613220
oct22061250244
96237271260
102428850340
111037028234
12579500830
132c927a567
1419080d780
15e3374560
hex90c550a4

2428850340 has 192 divisors, whose sum is σ = 8934105600. Its totient is φ = 535997952.

The previous prime is 2428850269. The next prime is 2428850377. The reversal of 2428850340 is 430588242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2428850295 and 2428850304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98542 + ... + 120698.

It is an arithmetic number, because the mean of its divisors is an integer number (46531800).

Almost surely, 22428850340 is an apocalyptic number.

2428850340 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 2428850340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467052800).

2428850340 is an abundant number, since it is smaller than the sum of its proper divisors (6505255260).

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

2428850340 is a wasteful number, since it uses less digits than its factorization.

2428850340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22211 (or 22203 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2428850340 is about 49283.3677826506. The cubic root of 2428850340 is about 1344.2093702841.

The spelling of 2428850340 in words is "two billion, four hundred twenty-eight million, eight hundred fifty thousand, three hundred forty".