Search a number
-
+
2390361288 = 233789159869
BaseRepresentation
bin1000111001111010…
…0000010011001000
320011120212221020120
42032132200103020
514343413030123
61033105423240
7113143510230
oct21636402310
96146787216
102390361288
1110173298a7
1256863ab20
132c12c2683
14189670cc0
15decc02e3
hex8e7a04c8

2390361288 has 64 divisors (see below), whose sum is σ = 6906384000. Its totient is φ = 675282432.

The previous prime is 2390361269. The next prime is 2390361289. The reversal of 2390361288 is 8821630932.

It is a super-3 number, since 3×23903612883 (a number of 29 digits) contains 333 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 (2390361289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64983 + ... + 94886.

It is an arithmetic number, because the mean of its divisors is an integer number (107912250).

Almost surely, 22390361288 is an apocalyptic number.

2390361288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2390361288 is an abundant number, since it is smaller than the sum of its proper divisors (4516022712).

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

2390361288 is a wasteful number, since it uses less digits than its factorization.

2390361288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159974 (or 159970 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2390361288 is about 48891.3211930298. The cubic root of 2390361288 is about 1337.0711421860.

The spelling of 2390361288 in words is "two billion, three hundred ninety million, three hundred sixty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 2136 2492 3738 4984 7476 14952 159869 319738 479607 639476 959214 1119083 1278952 1918428 2238166 3357249 3836856 4476332 6714498 8952664 13428996 14228341 26857992 28456682 42685023 56913364 85370046 99598387 113826728 170740092 199196774 298795161 341480184 398393548 597590322 796787096 1195180644 2390361288