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344535243040 = 25519126941911
BaseRepresentation
bin1010000001101111110…
…01101001100100100000
31012221022020211210010001
411000313321221210200
521121102010234130
6422135521545344
733614622150142
oct5006771514440
91187266753101
10344535243040
1112313118758a
12569341a5254
1326649677221
1412965b90c92
158e673e66ca
hex5037e69920

344535243040 has 96 divisors (see below), whose sum is σ = 821287434240. Its totient is φ = 136579660800.

The previous prime is 344535243029. The next prime is 344535243049. The reversal of 344535243040 is 40342535443.

It is not an unprimeable number, because it can be changed into a prime (344535243049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8199685 + ... + 8241595.

It is an arithmetic number, because the mean of its divisors is an integer number (8555077440).

Almost surely, 2344535243040 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 344535243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410643717120).

344535243040 is an abundant number, since it is smaller than the sum of its proper divisors (476752191200).

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

344535243040 is a wasteful number, since it uses less digits than its factorization.

344535243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42386 (or 42378 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 37.

Adding to 344535243040 its reverse (40342535443), we get a palindrome (384877778483).

The spelling of 344535243040 in words is "three hundred forty-four billion, five hundred thirty-five million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 269 382 538 764 955 1076 1345 1528 1910 2152 2690 3056 3820 4304 5380 6112 7640 8608 10760 15280 21520 30560 41911 43040 51379 83822 102758 167644 205516 209555 256895 335288 411032 419110 513790 670576 822064 838220 1027580 1341152 1644128 1676440 2055160 3352880 4110320 6705760 8005001 8220640 11274059 16010002 22548118 32020004 40025005 45096236 56370295 64040008 80050010 90192472 112740590 128080016 160100020 180384944 225481180 256160032 320200040 360769888 450962360 640400080 901924720 1280800160 1803849440 2153345269 4306690538 8613381076 10766726345 17226762152 21533452690 34453524304 43066905380 68907048608 86133810760 172267621520 344535243040