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2303907840 = 21133513641
BaseRepresentation
bin1000100101010010…
…1101100000000000
312221120012122102000
42021110231200000
514204300022330
61020340424000
7111043615323
oct21124554000
95846178360
102303907840
11a82550073
125436a8000
132a9412aa0
1417bda87ba
15d73e4560
hex8952d800

2303907840 has 384 divisors, whose sum is σ = 8833406400. Its totient is φ = 566231040.

The previous prime is 2303907829. The next prime is 2303907877. The reversal of 2303907840 is 487093032.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2303907795 and 2303907804.

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, 3593920 + ... + 3594560.

Almost surely, 22303907840 is an apocalyptic number.

2303907840 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 2303907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416703200).

2303907840 is an abundant number, since it is smaller than the sum of its proper divisors (6529498560).

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

2303907840 is a wasteful number, since it uses less digits than its factorization.

2303907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2303907840 is about 47999.0399903998. The cubic root of 2303907840 is about 1320.7532890444.

The spelling of 2303907840 in words is "two billion, three hundred three million, nine hundred seven thousand, eight hundred forty".