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684449136 = 243371132003
BaseRepresentation
bin101000110010111…
…101110101110000
31202200220121201000
4220302331311300
52400204333021
6151530042000
722650502350
oct5062756560
91680817630
10684449136
11321398848
12171279300
13aba560b7
1466c8ab60
154014eb26
hex28cbdd70

684449136 has 160 divisors (see below), whose sum is σ = 2266283520. Its totient is φ = 193729536.

The previous prime is 684449131. The next prime is 684449137. The reversal of 684449136 is 631944486.

It is a super-2 number, since 2×6844491362 = 936941239542292992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 684449091 and 684449100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684449131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340711 + ... + 342713.

It is an arithmetic number, because the mean of its divisors is an integer number (14164272).

Almost surely, 2684449136 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 684449136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133141760).

684449136 is an abundant number, since it is smaller than the sum of its proper divisors (1581834384).

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

684449136 is a wasteful number, since it uses less digits than its factorization.

684449136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2128 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 684449136 is about 26161.9788242403. The cubic root of 684449136 is about 881.2796191041.

The spelling of 684449136 in words is "six hundred eighty-four million, four hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 113 126 144 168 189 216 226 252 336 339 378 432 452 504 678 756 791 904 1008 1017 1356 1512 1582 1808 2003 2034 2373 2712 3024 3051 3164 4006 4068 4746 5424 6009 6102 6328 7119 8012 8136 9492 12018 12204 12656 14021 14238 16024 16272 18027 18984 21357 24036 24408 28042 28476 32048 36054 37968 42063 42714 48072 48816 54081 56084 56952 72108 84126 85428 96144 108162 112168 113904 126189 144216 168252 170856 216324 224336 226339 252378 288432 336504 341712 378567 432648 452678 504756 673008 679017 757134 865296 905356 1009512 1358034 1514268 1584373 1810712 2019024 2037051 2716068 3028536 3168746 3621424 4074102 4753119 5432136 6057072 6111153 6337492 8148204 9506238 10864272 12222306 12674984 14259357 16296408 19012476 24444612 25349968 28518714 32592816 38024952 42778071 48889224 57037428 76049904 85556142 97778448 114074856 171112284 228149712 342224568 684449136