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1334032020 = 22325471371151
BaseRepresentation
bin100111110000011…
…1011011010010100
310102222012211220100
41033200323122110
510213003011040
6340212534100
745026041116
oct11740733224
93388184810
101334032020
11625032002
12312921330
131834c2279
14c925d3b6
157c1b3b30
hex4f83b694

1334032020 has 144 divisors (see below), whose sum is σ = 4166443008. Its totient is φ = 345331200.

The previous prime is 1334032013. The next prime is 1334032069. The reversal of 1334032020 is 202304331.

1334032020 is a `hidden beast` number, since 1 + 3 + 340 + 320 + 2 + 0 = 666.

1334032020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1334031984 and 1334032002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158445 + ... + 1159595.

It is an arithmetic number, because the mean of its divisors is an integer number (28933632).

Almost surely, 21334032020 is an apocalyptic number.

1334032020 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 1334032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083221504).

1334032020 is an abundant number, since it is smaller than the sum of its proper divisors (2832410988).

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

1334032020 is a wasteful number, since it uses less digits than its factorization.

1334032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1334032020 is about 36524.4030752044. The cubic root of 1334032020 is about 1100.8346337724.

Adding to 1334032020 its reverse (202304331), we get a palindrome (1536336351).

The spelling of 1334032020 in words is "one billion, three hundred thirty-four million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 137 141 180 188 235 274 282 411 423 470 548 564 685 705 822 846 940 1151 1233 1370 1410 1644 1692 2055 2115 2302 2466 2740 2820 3453 4110 4230 4604 4932 5755 6165 6439 6906 8220 8460 10359 11510 12330 12878 13812 17265 19317 20718 23020 24660 25756 32195 34530 38634 41436 51795 54097 57951 64390 69060 77268 96585 103590 108194 115902 128780 157687 162291 193170 207180 216388 231804 270485 289755 315374 324582 386340 473061 486873 540970 579510 630748 649164 788435 811455 946122 973746 1081940 1159020 1419183 1576870 1622910 1892244 1947492 2365305 2434365 2838366 3153740 3245820 4730610 4868730 5676732 7095915 7411289 9461220 9737460 14191830 14822578 22233867 28383660 29645156 37056445 44467734 66701601 74112890 88935468 111169335 133403202 148225780 222338670 266806404 333508005 444677340 667016010 1334032020