Search a number
-
+
2442033342 = 232730763131
BaseRepresentation
bin1001000110001110…
…0111100010111110
320022012010010222100
42101203213202332
520000130031332
61042153125530
7114341640510
oct22143474276
96265103870
102442033342
111043511881
125819b98a6
132cbc14b58
14192481bb0
15e45ca67c
hex918e78be

2442033342 has 48 divisors (see below), whose sum is σ = 6066732672. Its totient is φ = 695440080.

The previous prime is 2442033301. The next prime is 2442033359. The reversal of 2442033342 is 2433302442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7117 + ... + 70247.

It is an arithmetic number, because the mean of its divisors is an integer number (126390264).

Almost surely, 22442033342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442033342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033366336).

2442033342 is an abundant number, since it is smaller than the sum of its proper divisors (3624699330).

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

2442033342 is a wasteful number, since it uses less digits than its factorization.

2442033342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63453 (or 63450 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 2442033342 is about 49416.9337575694. The cubic root of 2442033342 is about 1346.6369591879.

Adding to 2442033342 its reverse (2433302442), we get a palindrome (4875335784).

The spelling of 2442033342 in words is "two billion, four hundred forty-two million, thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 307 614 921 1842 2149 2763 4298 5526 6447 12894 19341 38682 63131 126262 189393 378786 441917 568179 883834 1136358 1325751 2651502 3977253 7954506 19381217 38762434 58143651 116287302 135668519 174430953 271337038 348861906 407005557 814011114 1221016671 2442033342