Search a number
-
+
1426334312 = 231323728513
BaseRepresentation
bin101010100000100…
…0010001001101000
310200101220021211202
41111001002021220
510410120144222
6353311143332
750226433034
oct12501021150
93611807752
101426334312
11672146097
12339814b48
1319966c100
14d76091c4
1585347892
hex55042268

1426334312 has 48 divisors (see below), whose sum is σ = 2974295340. Its totient is φ = 640493568.

The previous prime is 1426334249. The next prime is 1426334317. The reversal of 1426334312 is 2134336241.

It can be written as a sum of positive squares in 6 ways, for example, as 894847396 + 531486916 = 29914^2 + 23054^2 .

It is not an unprimeable number, because it can be changed into a prime (1426334317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35768 + ... + 64280.

Almost surely, 21426334312 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 1426334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487147670).

1426334312 is an abundant number, since it is smaller than the sum of its proper divisors (1547961028).

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

1426334312 is a wasteful number, since it uses less digits than its factorization.

1426334312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28582 (or 28565 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 1426334312 is about 37766.8414353120. The cubic root of 1426334312 is about 1125.6596788131.

The spelling of 1426334312 in words is "one billion, four hundred twenty-six million, three hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 676 962 1352 1924 3848 6253 12506 25012 28513 50024 57026 114052 228104 370669 741338 1054981 1482676 2109962 2965352 4219924 4818697 8439848 9637394 13714753 19274788 27429506 38549576 54859012 109718024 178291789 356583578 713167156 1426334312