Search a number
-
+
3042322432 = 2119911499
BaseRepresentation
bin1011010101010110…
…0010100000000000
321212000122222210121
42311111202200000
522212313304212
61221515310024
7135251212462
oct26525424000
97760588717
103042322432
111321347966
1270aa4b314
133963b21b6
1420c0a2132
1512c153d07
hexb5562800

3042322432 has 48 divisors (see below), whose sum is σ = 6093360000. Its totient is φ = 1518612480.

The previous prime is 3042322337. The next prime is 3042322441. The reversal of 3042322432 is 2342232403.

It is a junction number, because it is equal to n+sod(n) for n = 3042322397 and 3042322406.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2028819 + ... + 2030317.

It is an arithmetic number, because the mean of its divisors is an integer number (126945000).

Almost surely, 23042322432 is an apocalyptic number.

3042322432 is a gapful number since it is divisible by the number (32) 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 3042322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680000).

3042322432 is an abundant number, since it is smaller than the sum of its proper divisors (3051037568).

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

3042322432 is an equidigital number, since it uses as much as digits as its factorization.

3042322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3042322432 is about 55157.2518532242. The cubic root of 3042322432 is about 1449.0000925573. Note that the first 4 decimals are identical.

Adding to 3042322432 its reverse (2342232403), we get a palindrome (5384554835).

The spelling of 3042322432 in words is "three billion, forty-two million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 991 1024 1499 1982 2048 2998 3964 5996 7928 11992 15856 23984 31712 47968 63424 95936 126848 191872 253696 383744 507392 767488 1014784 1485509 1534976 2029568 2971018 3069952 5942036 11884072 23768144 47536288 95072576 190145152 380290304 760580608 1521161216 3042322432