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534345240 = 2335111331139
BaseRepresentation
bin11111110110010…
…111011000011000
31101020110112212110
4133312113120120
52043243021430
6125004512320
716145600562
oct3766273030
91336415773
10534345240
11254695540
1212ab4b6a0
138691bb20
1450d76332
1531d9e7b0
hex1fd97618

534345240 has 128 divisors (see below), whose sum is σ = 1883347200. Its totient is φ = 119569920.

The previous prime is 534345239. The next prime is 534345257. The reversal of 534345240 is 42543435.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 534345198 and 534345207.

It is a congruent number.

It is an unprimeable number.

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, 1591 + ... + 32729.

It is an arithmetic number, because the mean of its divisors is an integer number (14713650).

Almost surely, 2534345240 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 534345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941673600).

534345240 is an abundant number, since it is smaller than the sum of its proper divisors (1349001960).

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

534345240 is a wasteful number, since it uses less digits than its factorization.

534345240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31177 (or 31173 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 534345240 is about 23115.9088075723. The cubic root of 534345240 is about 811.4728271103.

Adding to 534345240 its reverse (42543435), we get a palindrome (576888675).

The spelling of 534345240 in words is "five hundred thirty-four million, three hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 31139 62278 93417 124556 155695 186834 249112 311390 342529 373668 404807 467085 622780 685058 747336 809614 934170 1027587 1214421 1245560 1370116 1619228 1712645 1868340 2024035 2055174 2428842 2740232 3238456 3425290 3736680 4048070 4110348 4452877 4857684 5137935 6072105 6850580 8096140 8220696 8905754 9715368 10275870 12144210 13358631 13701160 16192280 17811508 20551740 22264385 24288420 26717262 35623016 41103480 44528770 48576840 53434524 66793155 89057540 106869048 133586310 178115080 267172620 534345240