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414538684 = 227472691171
BaseRepresentation
bin11000101101010…
…101101110111100
31001220000202011121
4120231111232330
51322110214214
6105045000324
713162343410
oct3055255674
91056022147
10414538684
111a2aa605a
12b69b30a4
1367b61c81
143d0aad40
15265d6424
hex18b55bbc

414538684 has 48 divisors (see below), whose sum is σ = 850590720. Its totient is φ = 173085120.

The previous prime is 414538679. The next prime is 414538697. The reversal of 414538684 is 486835414.

It is a self number, because there is not a number n which added to its sum of digits gives 414538684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353419 + ... + 354589.

It is an arithmetic number, because the mean of its divisors is an integer number (17720640).

Almost surely, 2414538684 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 414538684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425295360).

414538684 is an abundant number, since it is smaller than the sum of its proper divisors (436052036).

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

414538684 is a wasteful number, since it uses less digits than its factorization.

414538684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1496 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 414538684 is about 20360.2230832572. The cubic root of 414538684 is about 745.6271067734.

The spelling of 414538684 in words is "four hundred fourteen million, five hundred thirty-eight thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 47 94 188 269 329 538 658 1076 1171 1316 1883 2342 3766 4684 7532 8197 12643 16394 25286 32788 50572 55037 88501 110074 177002 220148 314999 354004 385259 629998 770518 1259996 1541036 2204993 4409986 8819972 14804953 29609906 59219812 103634671 207269342 414538684