Search a number
-
+
2393980008 = 233733143051
BaseRepresentation
bin1000111010110001…
…0011110001101000
320011211200210012020
42032230103301220
514400324330013
61033315144440
7113216331360
oct21654236150
96154623166
102393980008
111019380682
125698a5120
132c1c8b824
14189d339a0
15e0287623
hex8eb13c68

2393980008 has 64 divisors (see below), whose sum is σ = 6860766720. Its totient is φ = 681912000.

The previous prime is 2393979997. The next prime is 2393980009. The reversal of 2393980008 is 8000893932.

It is a super-2 number, since 2×23939800082 = 11462280557407360128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2393980009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34083 + ... + 77133.

It is an arithmetic number, because the mean of its divisors is an integer number (107199480).

Almost surely, 22393980008 is an apocalyptic number.

2393980008 is a gapful number since it is divisible by the number (28) 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 2393980008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430383360).

2393980008 is an abundant number, since it is smaller than the sum of its proper divisors (4466786712).

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

2393980008 is a wasteful number, since it uses less digits than its factorization.

2393980008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43398 (or 43394 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2393980008 is about 48928.3149924458. The cubic root of 2393980008 is about 1337.7455237158.

The spelling of 2393980008 in words is "two billion, three hundred ninety-three million, nine hundred eighty thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 331 662 993 1324 1986 2317 2648 3972 4634 6951 7944 9268 13902 18536 27804 43051 55608 86102 129153 172204 258306 301357 344408 516612 602714 904071 1033224 1205428 1808142 2410856 3616284 7232568 14249881 28499762 42749643 56999524 85499286 99749167 113999048 170998572 199498334 299247501 341997144 398996668 598495002 797993336 1196990004 2393980008