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344002331020 = 225283311195427
BaseRepresentation
bin1010000000110000010…
…00110000000110001100
31012212221010002001020211
411000120020300012030
521114004044043040
6422011003452204
733565461365605
oct5003010600614
91185833061224
10344002331020
11122988390927
1256805827064
132659313a87a
14129150acdac
158e3572b8ea
hex501823018c

344002331020 has 48 divisors (see below), whose sum is σ = 727292337408. Its totient is φ = 136673127360.

The previous prime is 344002331009. The next prime is 344002331033. The reversal of 344002331020 is 20133200443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 344002330982 and 344002331000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1662547 + ... + 1857973.

It is an arithmetic number, because the mean of its divisors is an integer number (15151923696).

Almost surely, 2344002331020 is an apocalyptic number.

It is an amenable number.

344002331020 is an abundant number, since it is smaller than the sum of its proper divisors (383290006388).

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

344002331020 is a wasteful number, since it uses less digits than its factorization.

344002331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196030 (or 196028 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 344002331020 its reverse (20133200443), we get a palindrome (364135531463).

The spelling of 344002331020 in words is "three hundred forty-four billion, two million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 283 311 566 622 1132 1244 1415 1555 2830 3110 5660 6220 88013 176026 195427 352052 390854 440065 781708 880130 977135 1760260 1954270 3908540 55305841 60777797 110611682 121555594 221223364 243111188 276529205 303888985 553058410 607777970 1106116820 1215555940 17200116551 34400233102 68800466204 86000582755 172001165510 344002331020