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2303673984 = 273231251257
BaseRepresentation
bin1000100101001111…
…0100011010000000
312221112202202121200
42021103310122000
514204220031414
61020331421200
7111041622453
oct21123643200
95845682550
102303673984
11a824003a7
125435b4800
132a9360501
1417bd4749a
15d739a109
hex894f4680

2303673984 has 192 divisors, whose sum is σ = 6896897280. Its totient is φ = 737280000.

The previous prime is 2303673937. The next prime is 2303673989. The reversal of 2303673984 is 4893763032.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2303673989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8963584 + ... + 8963840.

It is an arithmetic number, because the mean of its divisors is an integer number (35921340).

Almost surely, 22303673984 is an apocalyptic number.

2303673984 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 2303673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448448640).

2303673984 is an abundant number, since it is smaller than the sum of its proper divisors (4593223296).

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

2303673984 is a wasteful number, since it uses less digits than its factorization.

2303673984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2303673984 is about 47996.6038798580. The cubic root of 2303673984 is about 1320.7086002585.

It can be divided in two parts, 23036 and 73984, that added together give a triangular number (97020 = T440).

The spelling of 2303673984 in words is "two billion, three hundred three million, six hundred seventy-three thousand, nine hundred eighty-four".