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640288404 = 2232737431597
BaseRepresentation
bin100110001010100…
…000011010010100
31122121211000120100
4212022200122110
52302403212104
6143311334100
721603235020
oct4612403224
91577730510
10640288404
112a9476178
1215a521330
13a28637a2
1461073380
153b32a139
hex262a0694

640288404 has 144 divisors (see below), whose sum is σ = 1945111168. Its totient is φ = 173746944.

The previous prime is 640288403. The next prime is 640288417. The reversal of 640288404 is 404882046.

640288404 is a `hidden beast` number, since 640 + 2 + 8 + 8 + 4 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640288403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 400134 + ... + 401730.

Almost surely, 2640288404 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 640288404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972555584).

640288404 is an abundant number, since it is smaller than the sum of its proper divisors (1304822764).

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

640288404 is a wasteful number, since it uses less digits than its factorization.

640288404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 640288404 is about 25303.9207238720. The cubic root of 640288404 is about 861.9033039863.

The spelling of 640288404 in words is "six hundred forty million, two hundred eighty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 43 63 74 84 86 111 126 129 148 172 222 252 258 259 301 333 387 444 516 518 602 666 774 777 903 1036 1204 1332 1548 1554 1591 1597 1806 2331 2709 3108 3182 3194 3612 4662 4773 4791 5418 6364 6388 9324 9546 9582 10836 11137 11179 14319 14373 19092 19164 22274 22358 28638 28746 33411 33537 44548 44716 57276 57492 59089 66822 67074 68671 100233 100611 118178 133644 134148 137342 177267 200466 201222 206013 236356 274684 354534 400932 402444 412026 413623 480697 531801 618039 709068 824052 827246 961394 1063602 1236078 1240869 1442091 1654492 1922788 2127204 2472156 2481738 2540827 2884182 3722607 4326273 4963476 5081654 5768364 7445214 7622481 8652546 10163308 14890428 15244962 17305092 17785789 22867443 30489924 35571578 45734886 53357367 71143156 91469772 106714734 160072101 213429468 320144202 640288404