Search a number
-
+
340200432 = 243311135507
BaseRepresentation
bin10100010001110…
…000101111110000
3212201010222021000
4110101300233300
51144042403212
653431402000
711300440665
oct2421605760
9781128230
10340200432
11165041690
1295b23300
1355634940
1433279a6c
151ed001dc
hex14470bf0

340200432 has 160 divisors (see below), whose sum is σ = 1147426560. Its totient is φ = 95143680.

The previous prime is 340200407. The next prime is 340200439. The reversal of 340200432 is 234002043.

340200432 is a `hidden beast` number, since 34 + 0 + 200 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340200439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59023 + ... + 64529.

It is an arithmetic number, because the mean of its divisors is an integer number (7171416).

Almost surely, 2340200432 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 340200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573713280).

340200432 is an abundant number, since it is smaller than the sum of its proper divisors (807226128).

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

340200432 is a wasteful number, since it uses less digits than its factorization.

340200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 340200432 is about 18444.5230895244. The cubic root of 340200432 is about 698.0903269229.

Adding to 340200432 its reverse (234002043), we get a palindrome (574202475).

The spelling of 340200432 in words is "three hundred forty million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5507 5616 6864 7722 10296 11014 15444 16521 20592 22028 30888 33042 44056 49563 60577 61776 66084 71591 88112 99126 121154 132168 143182 148689 181731 198252 214773 242308 264336 286364 297378 363462 396504 429546 484616 545193 572728 594756 644319 726924 787501 793008 859092 969232 1090386 1145456 1189512 1288638 1453848 1575002 1635579 1718184 1932957 2180772 2362503 2379024 2577276 2907696 3150004 3271158 3436368 3865914 4361544 4725006 5154552 6300008 6542316 7087509 7731828 8723088 9450012 10309104 12600016 13084632 14175018 15463656 18900024 21262527 26169264 28350036 30927312 37800048 42525054 56700072 85050108 113400144 170100216 340200432