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685442304 = 2833131757
BaseRepresentation
bin101000110110110…
…000010100000000
31202202210002002000
4220312300110000
52400433123204
6152003224000
722662110031
oct5066602400
91682702060
10685442304
11321a06a48
12171678000
13ac013181
1467068a88
1540299039
hex28db0500

685442304 has 144 divisors (see below), whose sum is σ = 2045144640. Its totient is φ = 226437120.

The previous prime is 685442291. The next prime is 685442323. The reversal of 685442304 is 403244586.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6854423042 = 939662304225656832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905094 + ... + 905850.

Almost surely, 2685442304 is an apocalyptic number.

685442304 is a gapful number since it is divisible by the number (64) 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 685442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022572320).

685442304 is an abundant number, since it is smaller than the sum of its proper divisors (1359702336).

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

685442304 is a wasteful number, since it uses less digits than its factorization.

685442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 685442304 is about 26180.9530766166. The cubic root of 685442304 is about 881.7056725362.

The spelling of 685442304 in words is "six hundred eighty-five million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 192 216 256 262 288 384 393 432 524 576 757 768 786 864 1048 1152 1179 1514 1572 1728 2096 2271 2304 2358 3028 3144 3456 3537 4192 4542 4716 6056 6288 6813 6912 7074 8384 9084 9432 12112 12576 13626 14148 16768 18168 18864 20439 24224 25152 27252 28296 33536 36336 37728 40878 48448 50304 54504 56592 72672 75456 81756 96896 99167 100608 109008 113184 145344 150912 163512 193792 198334 218016 226368 290688 297501 301824 327024 396668 436032 452736 581376 595002 654048 793336 872064 892503 905472 1190004 1308096 1586672 1744128 1785006 2380008 2616192 2677509 3173344 3570012 4760016 5232384 5355018 6346688 7140024 9520032 10710036 12693376 14280048 19040064 21420072 25386752 28560096 38080128 42840144 57120192 76160256 85680288 114240384 171360576 228480768 342721152 685442304