Search a number
-
+
2368934048 = 251312744839
BaseRepresentation
bin1000110100110011…
…0001000010100000
320010002120022121002
42031030301002200
514322421342143
61031022251132
7112463415155
oct21514610240
96102508532
102368934048
111006224238
12561426aa8
132b9a2c730
1418689422c
15dce8b5b8
hex8d3310a0

2368934048 has 48 divisors (see below), whose sum is σ = 5062256640. Its totient is φ = 1084720896.

The previous prime is 2368934047. The next prime is 2368934077. The reversal of 2368934048 is 8404398632.

It is a super-2 number, since 2×23689340482 = 11223697047547332608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2368933993 and 2368934011.

It is not an unprimeable number, because it can be changed into a prime (2368934047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30413 + ... + 75251.

It is an arithmetic number, because the mean of its divisors is an integer number (105463680).

Almost surely, 22368934048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2368934048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531128320).

2368934048 is an abundant number, since it is smaller than the sum of its proper divisors (2693322592).

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

2368934048 is a wasteful number, since it uses less digits than its factorization.

2368934048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44989 (or 44981 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The square root of 2368934048 is about 48671.6965802508. The cubic root of 2368934048 is about 1333.0639684745.

The spelling of 2368934048 in words is "two billion, three hundred sixty-eight million, nine hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 127 208 254 416 508 1016 1651 2032 3302 4064 6604 13208 26416 44839 52832 89678 179356 358712 582907 717424 1165814 1434848 2331628 4663256 5694553 9326512 11389106 18653024 22778212 45556424 74029189 91112848 148058378 182225696 296116756 592233512 1184467024 2368934048