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1334313420 = 2235114094943
BaseRepresentation
bin100111110001000…
…0000000111001100
310102222202010220120
41033202000013030
510213041012140
6340222544540
745031322406
oct11742000714
93388663816
101334313420
11625204470
12312a38150
1318359038b
14c92d3b76
157c21c1d0
hex4f8801cc

1334313420 has 96 divisors (see below), whose sum is σ = 4086512640. Its totient is φ = 322613760.

The previous prime is 1334313373. The next prime is 1334313443. The reversal of 1334313420 is 243134331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267469 + ... + 272411.

It is an arithmetic number, because the mean of its divisors is an integer number (42567840).

Almost surely, 21334313420 is an apocalyptic number.

1334313420 is a gapful number since it is divisible by the number (10) 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 1334313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043256320).

1334313420 is an abundant number, since it is smaller than the sum of its proper divisors (2752199220).

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

1334313420 is a wasteful number, since it uses less digits than its factorization.

1334313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5375 (or 5373 counting only the distinct ones).

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

The square root of 1334313420 is about 36528.2550910935. The cubic root of 1334313420 is about 1100.9120314867.

Adding to 1334313420 its reverse (243134331), we get a palindrome (1577447751).

Subtracting from 1334313420 its reverse (243134331), we obtain a square (1091179089 = 330332).

The spelling of 1334313420 in words is "one billion, three hundred thirty-four million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 409 660 818 1227 1636 2045 2454 4090 4499 4908 4943 6135 8180 8998 9886 12270 13497 14829 17996 19772 22495 24540 24715 26994 29658 44990 49430 53988 54373 59316 67485 74145 89980 98860 108746 134970 148290 163119 217492 269940 271865 296580 326238 543730 652476 815595 1087460 1631190 2021687 3262380 4043374 6065061 8086748 10108435 12130122 20216870 22238557 24260244 30325305 40433740 44477114 60650610 66715671 88954228 111192785 121301220 133431342 222385570 266862684 333578355 444771140 667156710 1334313420