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534111435 = 335111373379
BaseRepresentation
bin11111110101011…
…110010011001011
31101020000200011000
4133311132103023
52043213031220
6124555510043
716143605124
oct3765362313
91336020130
10534111435
11254545910
1212aa58323
1386869590
1450d1504b
1531d55390
hex1fd5e4cb

534111435 has 128 divisors (see below), whose sum is σ = 1133798400. Its totient is φ = 235146240.

The previous prime is 534111433. The next prime is 534111437.

It is a happy number.

534111435 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (534111433) and next prime (534111437).

It is not a de Polignac number, because 534111435 - 21 = 534111433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 534111399 and 534111408.

It is not an unprimeable number, because it can be changed into a prime (534111433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1409076 + ... + 1409454.

It is an arithmetic number, because the mean of its divisors is an integer number (8857800).

Almost surely, 2534111435 is an apocalyptic number.

534111435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

534111435 is an abundant number, since it is smaller than the sum of its proper divisors (599686965).

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

534111435 is a wasteful number, since it uses less digits than its factorization.

534111435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 534111435 is about 23110.8510228421. The cubic root of 534111435 is about 811.3544553981.

The spelling of 534111435 in words is "five hundred thirty-four million, one hundred eleven thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 73 99 117 135 143 165 195 219 297 351 365 379 429 495 585 657 715 803 949 1095 1137 1287 1485 1755 1895 1971 2145 2409 2847 3285 3411 3861 4015 4169 4745 4927 5685 6435 7227 8541 9855 10233 10439 12045 12507 14235 14781 17055 19305 20845 21681 24635 25623 27667 31317 36135 37521 42705 44343 51165 52195 54197 62535 73905 83001 93951 108405 112563 128115 133029 138335 156585 162591 187605 221715 249003 270985 281853 304337 359671 415005 469755 487773 562815 665145 747009 812955 913011 1079013 1245015 1409265 1463319 1521685 1798355 2438865 2739033 3237039 3735045 3956381 4565055 5395065 7316595 8217099 9711117 11869143 13695165 16185195 19781905 35607429 41085495 48555585 59345715 106822287 178037145 534111435