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2308278240 = 2532559101269
BaseRepresentation
bin1000100110010101…
…1000011111100000
312221212102200110200
42021211120133200
514211404400430
61021014225200
7111126020112
oct21145303740
95855380420
102308278240
11a84a65674
12545055200
132aa2b3118
1417c7c53b2
15d79a9460
hex899587e0

2308278240 has 288 divisors, whose sum is σ = 8119893600. Its totient is φ = 596889600.

The previous prime is 2308278191. The next prime is 2308278253. The reversal of 2308278240 is 428728032.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2308278195 and 2308278204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8580826 + ... + 8581094.

It is an arithmetic number, because the mean of its divisors is an integer number (28194075).

Almost surely, 22308278240 is an apocalyptic number.

2308278240 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 2308278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059946800).

2308278240 is an abundant number, since it is smaller than the sum of its proper divisors (5811615360).

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

2308278240 is a wasteful number, since it uses less digits than its factorization.

2308278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2308278240 is about 48044.5443312766. The cubic root of 2308278240 is about 1321.5878962341.

The spelling of 2308278240 in words is "two billion, three hundred eight million, two hundred seventy-eight thousand, two hundred forty".