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684202344 = 2337231131567
BaseRepresentation
bin101000110010000…
…001100101101000
31202200110002011120
4220302001211220
52400123433334
6151520455240
722645424010
oct5062014550
91680402146
10684202344
1132123a391
1217117a520
13ab99a977
1466c24c40
1540101949
hex28c81968

684202344 has 128 divisors (see below), whose sum is σ = 2059223040. Its totient is φ = 185213952.

The previous prime is 684202327. The next prime is 684202357. The reversal of 684202344 is 443202486.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435849 + ... + 437415.

It is an arithmetic number, because the mean of its divisors is an integer number (16087680).

Almost surely, 2684202344 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 684202344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029611520).

684202344 is an abundant number, since it is smaller than the sum of its proper divisors (1375020696).

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

684202344 is a wasteful number, since it uses less digits than its factorization.

684202344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 684202344 is about 26157.2617832983. The cubic root of 684202344 is about 881.1736852983.

The spelling of 684202344 in words is "six hundred eighty-four million, two hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 113 138 161 168 184 226 276 322 339 452 483 552 644 678 791 904 966 1288 1356 1567 1582 1932 2373 2599 2712 3134 3164 3864 4701 4746 5198 6268 6328 7797 9402 9492 10396 10969 12536 15594 18193 18804 18984 20792 21938 31188 32907 36041 36386 37608 43876 54579 62376 65814 72082 72772 87752 108123 109158 131628 144164 145544 177071 216246 218316 252287 263256 288328 354142 432492 436632 504574 531213 708284 756861 864984 1009148 1062426 1239497 1416568 1513722 2018296 2124852 2478994 3027444 3718491 4072633 4249704 4957988 6054888 7436982 8145266 9915976 12217899 14873964 16290532 24435798 28508431 29747928 32581064 48871596 57016862 85525293 97743192 114033724 171050586 228067448 342101172 684202344