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349524534436 = 22721143492
BaseRepresentation
bin1010001011000010100…
…10010010010010100100
31020102011222002001020021
411011201102102102210
521211311240100221
6424322551444524
734152354344200
oct5054122222244
91212158061207
10349524534436
11125261540000
12578a7086744
1326c6322685c
1412cba665b00
15915a435041
hex51614924a4

349524534436 has 135 divisors (see below), whose sum is σ = 784929500145. Its totient is φ = 135788194080.

The previous prime is 349524534407. The next prime is 349524534439. The reversal of 349524534436 is 634435425943.

It is a happy number.

The square root of 349524534436 is 591206.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 256548328036 + 92976206400 = 506506^2 + 304920^2 .

It is not an unprimeable number, because it can be changed into a prime (349524534439) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1001502790 + ... + 1001503138.

Almost surely, 2349524534436 is an apocalyptic number.

349524534436 is the 591206-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349524534436

349524534436 is an abundant number, since it is smaller than the sum of its proper divisors (435404965709).

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

349524534436 is an frugal number, since it uses more digits than its factorization.

349524534436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 369 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 349524534436 in words is "three hundred forty-nine billion, five hundred twenty-four million, five hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 349 484 539 698 847 1078 1331 1396 1694 2156 2443 2662 3388 3839 4886 5324 5929 7678 9317 9772 11858 14641 15356 17101 18634 23716 26873 29282 34202 37268 42229 53746 58564 65219 68404 84458 102487 107492 121801 130438 168916 188111 204974 243602 260876 295603 376222 409948 464519 487204 591206 717409 752444 852607 929038 1182412 1339811 1434818 1705214 1858076 2069221 2679622 2869636 3251633 3410428 4138442 5109709 5359244 5968249 6503266 8276884 9378677 10219418 11936498 13006532 14737921 18757354 20438836 22761431 23872996 29475842 35767963 37514708 45522862 58951684 65650739 71535926 91045724 103165447 131301478 143071852 162117131 206330894 250375741 262602956 324234262 412661788 500751482 648468524 722158129 1001502964 1134819917 1444316258 1783288441 2269639834 2888632516 3566576882 4539279668 7133153764 7943739419 12483019087 15887478838 24966038174 31774957676 49932076348 87381133609 174762267218 349524534436