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1320330414 = 231327317837
BaseRepresentation
bin100111010110010…
…1010010010101110
310102000102201211110
41032230222102232
510201001033124
6335003132450
744501423544
oct11654522256
93360381743
101320330414
11618323867
1230a214126
13180705900
14c74d3d94
157ada9029
hex4eb2a4ae

1320330414 has 48 divisors (see below), whose sum is σ = 2898746352. Its totient is φ = 400667904.

The previous prime is 1320330367. The next prime is 1320330457. The reversal of 1320330414 is 4140330231.

It is a super-2 number, since 2×13203304142 = 3486544804266822792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65104 + ... + 82940.

It is an arithmetic number, because the mean of its divisors is an integer number (60390549).

Almost surely, 21320330414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320330414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449373176).

1320330414 is an abundant number, since it is smaller than the sum of its proper divisors (1578415938).

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

1320330414 is a wasteful number, since it uses less digits than its factorization.

1320330414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17941 (or 17928 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1320330414 is about 36336.3511376693. The cubic root of 1320330414 is about 1097.0528309755.

Adding to 1320330414 its reverse (4140330231), we get a palindrome (5460660645).

The spelling of 1320330414 in words is "one billion, three hundred twenty million, three hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 73 78 146 169 219 338 438 507 949 1014 1898 2847 5694 12337 17837 24674 35674 37011 53511 74022 107022 231881 463762 695643 1302101 1391286 2604202 3014453 3906303 6028906 7812606 9043359 16927313 18086718 33854626 50781939 101563878 220055069 440110138 660165207 1320330414