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677705238 = 233717263401
BaseRepresentation
bin101000011001001…
…111011000010110
31202020012222211000
4220121033120112
52341443031423
6151125324130
722536254010
oct5031173026
91666188730
10677705238
11318601a81
1216ab66646
13aa534622
14660131b0
153e76b843
hex2864f616

677705238 has 128 divisors (see below), whose sum is σ = 1833891840. Its totient is φ = 181094400.

The previous prime is 677705233. The next prime is 677705257. The reversal of 677705238 is 832507776.

It is a super-2 number, since 2×6777052382 = 918568779225273288, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 677705193 and 677705202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677705233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1689838 + ... + 1690238.

It is an arithmetic number, because the mean of its divisors is an integer number (14327280).

Almost surely, 2677705238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677705238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916945920).

677705238 is an abundant number, since it is smaller than the sum of its proper divisors (1156186602).

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

677705238 is a wasteful number, since it uses less digits than its factorization.

677705238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 677705238 is about 26032.7723840547. The cubic root of 677705238 is about 878.3756355406.

The spelling of 677705238 in words is "six hundred seventy-seven million, seven hundred five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 263 306 357 378 401 459 526 714 789 802 918 1071 1203 1578 1841 2142 2367 2406 2807 3213 3609 3682 4471 4734 5523 5614 6426 6817 7101 7218 8421 8942 10827 11046 13413 13634 14202 16569 16842 20451 21654 25263 26826 31297 33138 40239 40902 47719 49707 50526 61353 62594 75789 80478 93891 95438 99414 105463 120717 122706 143157 151578 184059 187782 210926 241434 281673 286314 316389 368118 429471 563346 632778 738241 845019 858942 949167 1288413 1476482 1690038 1792871 1898334 2214723 2576826 2847501 3585742 4429446 5378613 5695002 6644169 10757226 12550097 13288338 16135839 19932507 25100194 32271678 37650291 39865014 48407517 75300582 96815034 112950873 225901746 338852619 677705238