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413383698 = 2327213311163
BaseRepresentation
bin11000101000111…
…011110000010010
31001210212001211100
4120220323300102
51321311234243
6105004125230
713146463200
oct3050736022
91053761740
10413383698
111a2387322
12b6536816
1367849350
143cc8a070
15264590d3
hex18a3bc12

413383698 has 144 divisors (see below), whose sum is σ = 1159232256. Its totient is φ = 105416640.

The previous prime is 413383657. The next prime is 413383709. The reversal of 413383698 is 896383314.

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 354865 + ... + 356027.

It is an arithmetic number, because the mean of its divisors is an integer number (8050224).

Almost surely, 2413383698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413383698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579616128).

413383698 is an abundant number, since it is smaller than the sum of its proper divisors (745848558).

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

413383698 is a wasteful number, since it uses less digits than its factorization.

413383698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1219 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 413383698 is about 20331.8395134331. The cubic root of 413383698 is about 744.9339749004.

The spelling of 413383698 in words is "four hundred thirteen million, three hundred eighty-three thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 62 63 78 91 93 98 117 126 147 182 186 217 234 273 279 294 403 434 441 546 558 637 651 806 819 882 1163 1209 1274 1302 1519 1638 1911 1953 2326 2418 2821 3038 3489 3627 3822 3906 4557 5642 5733 6978 7254 8141 8463 9114 10467 11466 13671 15119 16282 16926 19747 20934 24423 25389 27342 30238 36053 39494 45357 48846 50778 56987 59241 72106 73269 90714 105833 108159 113974 118482 136071 146538 170961 177723 211666 216318 252371 272142 317499 324477 341922 355446 468689 504742 512883 634998 648954 740831 757113 937378 952497 1025766 1406067 1481662 1514226 1766597 1904994 2222493 2271339 2812134 3280823 3533194 4218201 4444986 4542678 5299791 6561646 6667479 8436402 9842469 10599582 13334958 15899373 19684938 22965761 29527407 31798746 45931522 59054814 68897283 137794566 206691849 413383698