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535123314 = 2331117197269
BaseRepresentation
bin11111111001010…
…101010101110010
31101021221002012000
4133321111111302
52043442421224
6125033314430
716155321165
oct3771252562
91337832160
10535123314
11255077080
1212b265a16
1386b3201b
14510d9adc
1531ea50c9
hex1fe55572

535123314 has 128 divisors (see below), whose sum is σ = 1385683200. Its totient is φ = 151280640.

The previous prime is 535123301. The next prime is 535123319. The reversal of 535123314 is 413321535.

535123314 is a `hidden beast` number, since 535 + 123 + 3 + 1 + 4 = 666.

It is a super-2 number, since 2×5351233142 = 572713922372685192, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (535123319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1989172 + ... + 1989440.

It is an arithmetic number, because the mean of its divisors is an integer number (10825650).

Almost surely, 2535123314 is an apocalyptic number.

535123314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 535123314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692841600).

535123314 is an abundant number, since it is smaller than the sum of its proper divisors (850559886).

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

535123314 is a wasteful number, since it uses less digits than its factorization.

535123314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 535123314 is about 23132.7325234180. The cubic root of 535123314 is about 811.8665049861.

Adding to 535123314 its reverse (413321535), we get a palindrome (948444849).

The spelling of 535123314 in words is "five hundred thirty-five million, one hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 197 198 269 297 306 374 394 459 538 561 591 594 807 918 1122 1182 1614 1683 1773 2167 2421 2959 3349 3366 3546 4334 4573 4842 5049 5319 5918 6501 6698 7263 8877 9146 10047 10098 10638 13002 13719 14526 17754 19503 20094 26631 27438 30141 36839 39006 41157 50303 52993 53262 58509 60282 73678 79893 82314 90423 100606 105986 110517 117018 123471 150909 158979 159786 180846 221034 246942 301818 317958 331551 452727 476937 582923 663102 900881 905454 953874 994653 1165846 1358181 1430811 1748769 1801762 1989306 2702643 2716362 2861622 3497538 5246307 5405286 8107929 9909691 10492614 15738921 16215858 19819382 24323787 29729073 31477842 48647574 59458146 89187219 178374438 267561657 535123314