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534351240 = 233257320333
BaseRepresentation
bin11111110110011…
…000110110001000
31101020110212002200
4133312120312020
52043243214430
6125005000200
716145624223
oct3766306610
91336425080
10534351240
11254699aa5
1212ab53060
1386921787
1450d785ba
1531da1460
hex1fd98d88

534351240 has 96 divisors (see below), whose sum is σ = 1760517720. Its totient is φ = 140534784.

The previous prime is 534351217. The next prime is 534351241. The reversal of 534351240 is 42153435.

534351240 is a `hidden beast` number, since 534 + 3 + 5 + 124 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 525601476 + 8749764 = 22926^2 + 2958^2 .

It is not an unprimeable number, because it can be changed into a prime (534351241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16114 + ... + 36446.

Almost surely, 2534351240 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 534351240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880258860).

534351240 is an abundant number, since it is smaller than the sum of its proper divisors (1226166480).

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

534351240 is a wasteful number, since it uses less digits than its factorization.

534351240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20423 (or 20416 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 534351240 is about 23116.0385879588. The cubic root of 534351240 is about 811.4758643594.

The spelling of 534351240 in words is "five hundred thirty-four million, three hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 20333 26280 40666 60999 81332 101665 121998 162664 182997 203330 243996 304995 365994 406660 487992 609990 731988 813320 914985 1219980 1463976 1484309 1829970 2439960 2968618 3659940 4452927 5937236 7319880 7421545 8905854 11874472 13358781 14843090 17811708 22264635 26717562 29686180 35623416 44529270 53435124 59372360 66793905 89058540 106870248 133587810 178117080 267175620 534351240