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1334243020 = 22511291631283
BaseRepresentation
bin100111110000110…
…1110111011001100
310102222121120100011
41033201232323030
510213031234040
6340221243004
745030610225
oct11741567314
93388546304
101334243020
11625166590
12312a03464
13183567316
14c92b624c
157c2063ea
hex4f86eecc

1334243020 has 96 divisors (see below), whose sum is σ = 3183909120. Its totient is φ = 465212160.

The previous prime is 1334242997. The next prime is 1334243021. The reversal of 1334243020 is 203424331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1334242982 and 1334243000.

It is not an unprimeable number, because it can be changed into a prime (1334243021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039299 + ... + 1040581.

It is an arithmetic number, because the mean of its divisors is an integer number (33165720).

Almost surely, 21334243020 is an apocalyptic number.

1334243020 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 1334243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591954560).

1334243020 is an abundant number, since it is smaller than the sum of its proper divisors (1849666100).

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

1334243020 is a wasteful number, since it uses less digits than its factorization.

1334243020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1334243020 is about 36527.2914407844. The cubic root of 1334243020 is about 1100.8926693266.

Adding to 1334243020 its reverse (203424331), we get a palindrome (1537667351).

The spelling of 1334243020 in words is "one billion, three hundred thirty-four million, two hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 163 220 290 319 326 580 638 652 815 1276 1283 1595 1630 1793 2566 3190 3260 3586 4727 5132 6380 6415 7172 8965 9454 12830 14113 17930 18908 23635 25660 28226 35860 37207 47270 51997 56452 70565 74414 94540 103994 141130 148828 186035 207988 209129 259985 282260 372070 409277 418258 519970 744140 818554 836516 1039940 1045645 1637108 2046385 2091290 2300419 4092770 4182580 4600838 6064741 8185540 9201676 11502095 12129482 23004190 24258964 30323705 46008380 60647410 66712151 121294820 133424302 266848604 333560755 667121510 1334243020