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535344342 = 231321937751
BaseRepresentation
bin11111111010001…
…011010011010110
31101022100022101020
4133322023103112
52044022004332
6125042142010
716160231451
oct3772132326
91338308336
10535344342
11255208145
1212b351906
1386bab800
1451156498
1531eea82c
hex1fe8b4d6

535344342 has 96 divisors (see below), whose sum is σ = 1255057920. Its totient is φ = 151632000.

The previous prime is 535344319. The next prime is 535344353. The reversal of 535344342 is 243443535.

It is a happy number.

It is a super-2 number, since 2×5353443422 = 573187129022825928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712467 + ... + 713217.

It is an arithmetic number, because the mean of its divisors is an integer number (13073520).

Almost surely, 2535344342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535344342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627528960).

535344342 is an abundant number, since it is smaller than the sum of its proper divisors (719713578).

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

535344342 is a wasteful number, since it uses less digits than its factorization.

535344342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 825 counting only the distinct ones).

The product of its digits is 86400, while the sum is 33.

The square root of 535344342 is about 23137.5094165297. The cubic root of 535344342 is about 811.9782677174.

Adding to 535344342 its reverse (243443535), we get a palindrome (778787877).

The spelling of 535344342 in words is "five hundred thirty-five million, three hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 19 26 37 38 39 57 74 78 111 114 169 222 247 338 481 494 507 703 741 751 962 1014 1406 1443 1482 1502 2109 2253 2886 3211 4218 4506 6253 6422 9139 9633 9763 12506 14269 18278 18759 19266 19526 27417 27787 28538 29289 37518 42807 54834 55574 58578 83361 85614 118807 126919 166722 185497 237614 253838 356421 361231 370994 380757 527953 556491 712842 722462 761514 1055906 1083693 1112982 1583859 2167386 2411461 3167718 4696003 4822922 6863389 7234383 9392006 13726778 14088009 14468766 20590167 28176018 41180334 89224057 178448114 267672171 535344342