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4344304240 = 2454112710429
BaseRepresentation
bin1000000101111000…
…01101001001110000
3102012202120112002001
410002330031021300
532344120213430
61555025303344
7212440656013
oct40274151160
912182515061
104344304240
11192a279091
12a12a94b54
13543062233
142d2d7b37a
151a65d63ca
hex102f0d270

4344304240 has 80 divisors (see below), whose sum is σ = 10429332480. Its totient is φ = 1681827840.

The previous prime is 4344304201. The next prime is 4344304249. The reversal of 4344304240 is 424034434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4344304199 and 4344304208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4344304249) 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 15 ways as a sum of consecutive naturals, for example, 411346 + ... + 421774.

It is an arithmetic number, because the mean of its divisors is an integer number (130366656).

Almost surely, 24344304240 is an apocalyptic number.

4344304240 is a gapful number since it is divisible by the number (40) 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 4344304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214666240).

4344304240 is an abundant number, since it is smaller than the sum of its proper divisors (6085028240).

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

4344304240 is a wasteful number, since it uses less digits than its factorization.

4344304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10610 (or 10604 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 4344304240 is about 65911.3362025077. The cubic root of 4344304240 is about 1631.6991127182.

Adding to 4344304240 its reverse (424034434), we get a palindrome (4768338674).

The spelling of 4344304240 in words is "four billion, three hundred forty-four million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 127 164 205 254 328 410 508 635 656 820 1016 1270 1640 2032 2540 3280 5080 5207 10160 10414 10429 20828 20858 26035 41656 41716 52070 52145 83312 83432 104140 104290 166864 208280 208580 416560 417160 427589 834320 855178 1324483 1710356 2137945 2648966 3420712 4275890 5297932 6622415 6841424 8551780 10595864 13244830 17103560 21191728 26489660 34207120 52979320 54303803 105958640 108607606 217215212 271519015 434430424 543038030 868860848 1086076060 2172152120 4344304240