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2419490304 = 29337112273
BaseRepresentation
bin1001000000110110…
…0111111000000000
320020121200211202000
42100031213320000
514423342142204
61040030024000
7113646220410
oct22015477000
96217624660
102419490304
111031814970
12576348000
132c735108a
1418d494640
15e2626039
hex90367e00

2419490304 has 320 divisors, whose sum is σ = 8932999680. Its totient is φ = 628162560.

The previous prime is 2419490279. The next prime is 2419490321. The reversal of 2419490304 is 4030949142.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063312 + ... + 1065584.

It is an arithmetic number, because the mean of its divisors is an integer number (27915624).

Almost surely, 22419490304 is an apocalyptic number.

2419490304 is a gapful number since it is divisible by the number (24) 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 2419490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466499840).

2419490304 is an abundant number, since it is smaller than the sum of its proper divisors (6513509376).

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

2419490304 is a wasteful number, since it uses less digits than its factorization.

2419490304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2419490304 is about 49188.3147098983. The cubic root of 2419490304 is about 1342.4804254192.

The spelling of 2419490304 in words is "two billion, four hundred nineteen million, four hundred ninety thousand, three hundred four".