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2394054320 = 245719721701
BaseRepresentation
bin1000111010110010…
…0101111010110000
320011211211120010112
42032230211322300
514400334214240
61033320520452
7113220061130
oct21654457260
96154746115
102394054320
111019421499
12569920128
132c1cb65b8
14189d52ac0
15e029e665
hex8eb25eb0

2394054320 has 80 divisors (see below), whose sum is σ = 6393930048. Its totient is φ = 816614400.

The previous prime is 2394054317. The next prime is 2394054349. The reversal of 2394054320 is 234504932.

2394054320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23940543202 = 11462992174221324800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99470 + ... + 121170.

Almost surely, 22394054320 is an apocalyptic number.

2394054320 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 2394054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196965024).

2394054320 is an abundant number, since it is smaller than the sum of its proper divisors (3999875728).

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

2394054320 is a wasteful number, since it uses less digits than its factorization.

2394054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21918 (or 21912 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 2394054320 is about 48929.0743832335. The cubic root of 2394054320 is about 1337.7593653124.

The spelling of 2394054320 in words is "two billion, three hundred ninety-four million, fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 280 394 560 788 985 1379 1576 1970 2758 3152 3940 5516 6895 7880 11032 13790 15760 21701 22064 27580 43402 55160 86804 108505 110320 151907 173608 217010 303814 347216 434020 607628 759535 868040 1215256 1519070 1736080 2430512 3038140 4275097 6076280 8550194 12152560 17100388 21375485 29925679 34200776 42750970 59851358 68401552 85501940 119702716 149628395 171003880 239405432 299256790 342007760 478810864 598513580 1197027160 2394054320