Search a number
-
+
3311330424 = 2332321792753
BaseRepresentation
bin1100010101011110…
…1110010001111000
322112202212000101120
43011113232101320
523240200033144
61304325145240
7145025562363
oct30527562170
98482760346
103311330424
11144a183616
12784b5b220
1340a04b61c
14235ac90da
15145a8ee19
hexc55ee478

3311330424 has 64 divisors (see below), whose sum is σ = 8645356800. Its totient is φ = 1054918656.

The previous prime is 3311330423. The next prime is 3311330459. The reversal of 3311330424 is 4240331133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3311330394 and 3311330403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311330423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1201432 + ... + 1204184.

It is an arithmetic number, because the mean of its divisors is an integer number (135083700).

Almost surely, 23311330424 is an apocalyptic number.

It is an amenable number.

3311330424 is an abundant number, since it is smaller than the sum of its proper divisors (5334026376).

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

3311330424 is a wasteful number, since it uses less digits than its factorization.

3311330424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3311330424 is about 57544.1606420669. The cubic root of 3311330424 is about 1490.5075255584.

Adding to 3311330424 its reverse (4240331133), we get a palindrome (7551661557).

The spelling of 3311330424 in words is "three billion, three hundred eleven million, three hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 2179 2753 4358 5506 6537 8259 8716 11012 13074 16518 17432 22024 26148 33036 50117 52296 63319 66072 100234 126638 150351 189957 200468 253276 300702 379914 400936 506552 601404 759828 1202808 1519656 5998787 11997574 17996361 23995148 35992722 47990296 71985444 137972101 143970888 275944202 413916303 551888404 827832606 1103776808 1655665212 3311330424