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34241313540 = 2235789916033
BaseRepresentation
bin11111111000111100…
…001111101100000100
310021101100001221202210
4133320330033230010
51030111234013130
623421422103420
72321350235310
oct377074175404
9107340057683
1034241313540
1113581368735
12677741ab70
1332c8ca7495
14192b856b40
15d561695b0
hex7f8f0fb04

34241313540 has 96 divisors (see below), whose sum is σ = 110803472640. Its totient is φ = 7738638336.

The previous prime is 34241313529. The next prime is 34241313541. The reversal of 34241313540 is 4531314243.

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 = 34241313498 and 34241313507.

It is not an unprimeable number, because it can be changed into a prime (34241313541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420637 + ... + 495396.

It is an arithmetic number, because the mean of its divisors is an integer number (1154202840).

Almost surely, 234241313540 is an apocalyptic number.

34241313540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34241313540 is an abundant number, since it is smaller than the sum of its proper divisors (76562159100).

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

34241313540 is a wasteful number, since it uses less digits than its factorization.

34241313540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916141 (or 916139 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34241313540 its reverse (4531314243), we get a palindrome (38772627783).

The spelling of 34241313540 in words is "thirty-four billion, two hundred forty-one million, three hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 356 420 445 534 623 890 1068 1246 1335 1780 1869 2492 2670 3115 3738 5340 6230 7476 9345 12460 18690 37380 916033 1832066 2748099 3664132 4580165 5496198 6412231 9160330 10992396 12824462 13740495 18320660 19236693 25648924 27480990 32061155 38473386 54961980 64122310 76946772 81526937 96183465 128244620 163053874 192366930 244580811 326107748 384733860 407634685 489161622 570688559 815269370 978323244 1141377118 1222904055 1630538740 1712065677 2282754236 2445808110 2853442795 3424131354 4891616220 5706885590 6848262708 8560328385 11413771180 17120656770 34241313540