Search a number
-
+
208330704 = 243653337
BaseRepresentation
bin11000110101011…
…01111111010000
3112112000022000000
430122231333100
5411313040304
632401130000
75106532101
oct1432557720
9475008000
10208330704
11a7662a3a
1259929900
133421310a
141d9503a8
1513452939
hexc6adfd0

208330704 has 140 divisors (see below), whose sum is σ = 618432516. Its totient is φ = 67931136.

The previous prime is 208330697. The next prime is 208330723. The reversal of 208330704 is 407033802.

It can be written as a sum of positive squares in 2 ways, for example, as 103063104 + 105267600 = 10152^2 + 10260^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 618024 + ... + 618360.

Almost surely, 2208330704 is an apocalyptic number.

208330704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208330704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309216258).

208330704 is an abundant number, since it is smaller than the sum of its proper divisors (410101812).

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

208330704 is an equidigital number, since it uses as much as digits as its factorization.

208330704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 208330704 is about 14433.6656466748. The cubic root of 208330704 is about 592.8130568024.

The spelling of 208330704 in words is "two hundred eight million, three hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 337 424 432 477 486 636 648 674 729 848 954 972 1011 1272 1296 1348 1431 1458 1908 1944 2022 2544 2696 2862 2916 3033 3816 3888 4044 4293 5392 5724 5832 6066 7632 8088 8586 9099 11448 11664 12132 12879 16176 17172 17861 18198 22896 24264 25758 27297 34344 35722 36396 38637 48528 51516 53583 54594 68688 71444 72792 77274 81891 103032 107166 109188 142888 145584 154548 160749 163782 206064 214332 218376 245673 285776 309096 321498 327564 428664 436752 482247 491346 618192 642996 655128 857328 964494 982692 1285992 1310256 1446741 1928988 1965384 2571984 2893482 3857976 3930768 4340223 5786964 7715952 8680446 11573928 13020669 17360892 23147856 26041338 34721784 52082676 69443568 104165352 208330704