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413034540 = 223519219069
BaseRepresentation
bin11000100111100…
…110100000101100
31001210012022212120
4120213212200230
51321214101130
6104552432540
713143510222
oct3047464054
91053168776
10413034540
111a2168a66
12b63a8750
1367756449
143cbd8b12
15263da910
hex189e682c

413034540 has 72 divisors (see below), whose sum is σ = 1220632560. Its totient is φ = 104340096.

The previous prime is 413034539. The next prime is 413034569. The reversal of 413034540 is 45430314.

It is a self number, because there is not a number n which added to its sum of digits gives 413034540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12126 + ... + 31194.

It is an arithmetic number, because the mean of its divisors is an integer number (16953230).

Almost surely, 2413034540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413034540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610316280).

413034540 is an abundant number, since it is smaller than the sum of its proper divisors (807598020).

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

413034540 is a wasteful number, since it uses less digits than its factorization.

413034540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19119 (or 19098 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 413034540 is about 20323.2512162793. The cubic root of 413034540 is about 744.7241835918.

Adding to 413034540 its reverse (45430314), we get a palindrome (458464854).

The spelling of 413034540 in words is "four hundred thirteen million, thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 10830 19069 21660 38138 57207 76276 95345 114414 190690 228828 286035 362311 381380 572070 724622 1086933 1144140 1449244 1811555 2173866 3623110 4347732 5434665 6883909 7246220 10869330 13767818 20651727 21738660 27535636 34419545 41303454 68839090 82606908 103258635 137678180 206517270 413034540