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206693344 = 251113172657
BaseRepresentation
bin11000101000111…
…10001111100000
3112101221002222001
430110132033200
5410403141334
632302053344
75056602334
oct1424361740
9471832861
10206693344
11a6744850
125927a254
1333a8ba70
141d6457c4
151322c714
hexc51e3e0

206693344 has 96 divisors (see below), whose sum is σ = 506380896. Its totient is φ = 81592320.

The previous prime is 206693329. The next prime is 206693351. The reversal of 206693344 is 443396602.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 76464 + ... + 79120.

It is an arithmetic number, because the mean of its divisors is an integer number (5274801).

Almost surely, 2206693344 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 206693344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253190448).

206693344 is an abundant number, since it is smaller than the sum of its proper divisors (299687552).

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

206693344 is a wasteful number, since it uses less digits than its factorization.

206693344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The square root of 206693344 is about 14376.8335874072. The cubic root of 206693344 is about 591.2559132109.

The spelling of 206693344 in words is "two hundred six million, six hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 68 88 104 136 143 176 187 208 221 272 286 352 374 416 442 544 572 748 884 1144 1496 1768 2288 2431 2657 2992 3536 4576 4862 5314 5984 7072 9724 10628 19448 21256 29227 34541 38896 42512 45169 58454 69082 77792 85024 90338 116908 138164 180676 233816 276328 361352 379951 467632 496859 552656 587197 722704 759902 935264 993718 1105312 1174394 1445408 1519804 1987436 2348788 3039608 3974872 4697576 6079216 6459167 7949744 9395152 12158432 12918334 15899488 18790304 25836668 51673336 103346672 206693344