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531032340 = 223529833677
BaseRepresentation
bin11111101001101…
…110100100010100
31101000020020102110
4133221232210110
52041421013330
6124405511020
716105462146
oct3751564424
91330206373
10531032340
11252832503
12129a12470
138602bc27
1450752c96
1531947db0
hex1fa6e914

531032340 has 96 divisors (see below), whose sum is σ = 1557118080. Its totient is φ = 135041536.

The previous prime is 531032317. The next prime is 531032347. The reversal of 531032340 is 43230135.

It is a super-2 number, since 2×5310323402 = 563990692251751200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531032347) 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, 142582 + ... + 146258.

It is an arithmetic number, because the mean of its divisors is an integer number (16219980).

Almost surely, 2531032340 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 531032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778559040).

531032340 is an abundant number, since it is smaller than the sum of its proper divisors (1026085740).

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

531032340 is a wasteful number, since it uses less digits than its factorization.

531032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 531032340 is about 23044.1389511520. The cubic root of 531032340 is about 809.7923259700.

Adding to 531032340 its reverse (43230135), we get a palindrome (574262475).

The spelling of 531032340 in words is "five hundred thirty-one million, thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 83 87 116 145 166 174 249 290 332 348 415 435 498 580 830 870 996 1245 1660 1740 2407 2490 3677 4814 4980 7221 7354 9628 11031 12035 14442 14708 18385 22062 24070 28884 36105 36770 44124 48140 55155 72210 73540 106633 110310 144420 213266 220620 305191 319899 426532 533165 610382 639798 915573 1066330 1220764 1279596 1525955 1599495 1831146 2132660 3051910 3198990 3662292 4577865 6103820 6397980 8850539 9155730 17701078 18311460 26551617 35402156 44252695 53103234 88505390 106206468 132758085 177010780 265516170 531032340