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2430001896 = 2337174347421
BaseRepresentation
bin1001000011010110…
…1110001011101000
320021100110212221020
42100311232023220
514434040030041
61041043212440
7114134450430
oct22065561350
96240425836
102430001896
111037744433
12579977120
132c959175a
14190a2d2c0
15e3500866
hex90d6e2e8

2430001896 has 256 divisors, whose sum is σ = 7700520960. Its totient is φ = 623185920.

The previous prime is 2430001891. The next prime is 2430001897. The reversal of 2430001896 is 6981000342.

It is not an unprimeable number, because it can be changed into a prime (2430001891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5771766 + ... + 5772186.

It is an arithmetic number, because the mean of its divisors is an integer number (30080160).

Almost surely, 22430001896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430001896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850260480).

2430001896 is an abundant number, since it is smaller than the sum of its proper divisors (5270519064).

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

2430001896 is a wasteful number, since it uses less digits than its factorization.

2430001896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2430001896 is about 49295.0494066088. The cubic root of 2430001896 is about 1344.4217736273.

The spelling of 2430001896 in words is "two billion, four hundred thirty million, one thousand, eight hundred ninety-six".