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2301376896 = 273271329757
BaseRepresentation
bin1000100100101100…
…0011100110000000
312221101110001121100
42021023003212000
514203123030041
61020210254400
7111013244430
oct21113034600
95841401540
102301376896
11a81081585
12542887400
132a8a37aa0
1417b90a2c0
15d70946b6
hex892c3980

2301376896 has 384 divisors, whose sum is σ = 8442907200. Its totient is φ = 585252864.

The previous prime is 2301376879. The next prime is 2301376901. The reversal of 2301376896 is 6986731032.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3039750 + ... + 3040506.

Almost surely, 22301376896 is an apocalyptic number.

2301376896 is a gapful number since it is divisible by the number (26) 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 2301376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221453600).

2301376896 is an abundant number, since it is smaller than the sum of its proper divisors (6141530304).

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

2301376896 is a wasteful number, since it uses less digits than its factorization.

2301376896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2301376896 is about 47972.6682184762. The cubic root of 2301376896 is about 1320.2694766633.

The spelling of 2301376896 in words is "two billion, three hundred one million, three hundred seventy-six thousand, eight hundred ninety-six".