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43342416 = 2432133137
BaseRepresentation
bin1010010101010…
…1101001010000
310000120000121200
42211111221100
542043424131
64144551200
71034255505
oct245255120
9100500550
1043342416
1122513887
1212622500
138c97000
145a834ac
153c122e6
hex2955a50

43342416 has 120 divisors (see below), whose sum is σ = 132361320. Its totient is φ = 13238784.

The previous prime is 43342381. The next prime is 43342417. The reversal of 43342416 is 61424334.

It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 31809600 = 3396^2 + 5640^2 .

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 43342416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43342417) 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 23 ways as a sum of consecutive naturals, for example, 316300 + ... + 316436.

It is an arithmetic number, because the mean of its divisors is an integer number (1103011).

Almost surely, 243342416 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 43342416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66180660).

43342416 is an abundant number, since it is smaller than the sum of its proper divisors (89018904).

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

43342416 is a wasteful number, since it uses less digits than its factorization.

43342416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 155 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 43342416 is about 6583.4957279549. The cubic root of 43342416 is about 351.2672861222.

It can be divided in two parts, 433 and 42416, that added together give a square (42849 = 2072).

The spelling of 43342416 in words is "forty-three million, three hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 137 144 156 169 208 234 274 312 338 411 468 507 548 624 676 822 936 1014 1096 1233 1352 1521 1644 1781 1872 2028 2192 2197 2466 2704 3042 3288 3562 4056 4394 4932 5343 6084 6576 6591 7124 8112 8788 9864 10686 12168 13182 14248 16029 17576 19728 19773 21372 23153 24336 26364 28496 32058 35152 39546 42744 46306 52728 64116 69459 79092 85488 92612 105456 128232 138918 158184 185224 208377 256464 277836 300989 316368 370448 416754 555672 601978 833508 902967 1111344 1203956 1667016 1805934 2407912 2708901 3334032 3611868 4815824 5417802 7223736 10835604 14447472 21671208 43342416