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534221040 = 243571107293
BaseRepresentation
bin11111110101111…
…001000011110000
31101020020020111110
4133311321003300
52043230033130
6125002113320
716144542513
oct3765710360
91336206443
10534221040
112546101a1
1212aaab840
13868a7432
1450d42d7a
1531d77ab0
hex1fd790f0

534221040 has 160 divisors (see below), whose sum is σ = 1700891136. Its totient is φ = 138664960.

The previous prime is 534221033. The next prime is 534221041. The reversal of 534221040 is 40122435.

It is a junction number, because it is equal to n+sod(n) for n = 534220998 and 534221016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534221041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823134 + ... + 1823426.

Almost surely, 2534221040 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 534221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850445568).

534221040 is an abundant number, since it is smaller than the sum of its proper divisors (1166670096).

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

534221040 is a wasteful number, since it uses less digits than its factorization.

534221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 534221040 is about 23113.2221899068. Note that the first 3 decimals coincide. The cubic root of 534221040 is about 811.4099509476.

Adding to 534221040 its reverse (40122435), we get a palindrome (574343475).

The spelling of 534221040 in words is "five hundred thirty-four million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 107 120 142 213 214 240 284 293 321 355 426 428 535 568 586 642 710 852 856 879 1065 1070 1136 1172 1284 1420 1465 1605 1704 1712 1758 2130 2140 2344 2568 2840 2930 3210 3408 3516 4260 4280 4395 4688 5136 5680 5860 6420 7032 7597 8520 8560 8790 11720 12840 14064 15194 17040 17580 20803 22791 23440 25680 30388 31351 35160 37985 41606 45582 60776 62409 62702 70320 75970 83212 91164 94053 104015 113955 121552 124818 125404 151940 156755 166424 182328 188106 208030 227910 249636 250808 303880 312045 313510 332848 364656 376212 416060 455820 470265 499272 501616 607760 624090 627020 752424 832120 911640 940530 998544 1248180 1254040 1504848 1664240 1823280 1881060 2225921 2496360 2508080 3762120 4451842 4992720 6677763 7524240 8903684 11129605 13355526 17807368 22259210 26711052 33388815 35614736 44518420 53422104 66777630 89036840 106844208 133555260 178073680 267110520 534221040