Search a number
-
+
344031244000 = 2553175059283
BaseRepresentation
bin1010000000110011101…
…11000010111011100000
31012220000010110222101221
411000121313002323200
521114033444302000
6422013515304424
733566262216163
oct5003167027340
91186003428357
10344031244000
111229a2739654
125681344b114
1326599121b42
1412918c77ada
158e3803d61a
hex5019dc2ee0

344031244000 has 96 divisors (see below), whose sum is σ = 895007576736. Its totient is φ = 129517619200.

The previous prime is 344031243961. The next prime is 344031244021. The reversal of 344031244000 is 442130443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 2461642 + ... + 2597641.

It is an arithmetic number, because the mean of its divisors is an integer number (9322995591).

Almost surely, 2344031244000 is an apocalyptic number.

It is an amenable number.

344031244000 is an abundant number, since it is smaller than the sum of its proper divisors (550976332736).

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

344031244000 is a wasteful number, since it uses less digits than its factorization.

344031244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059325 (or 5059307 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 344031244000 its reverse (442130443), we get a palindrome (344473374443).

The spelling of 344031244000 in words is "three hundred forty-four billion, thirty-one million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 5059283 10118566 20237132 25296415 40474264 50592830 80948528 86007811 101185660 126482075 161897056 172015622 202371320 252964150 344031244 404742640 430039055 505928300 632410375 688062488 809485280 860078110 1011856600 1264820750 1376124976 1720156220 2023713200 2150195275 2529641500 2752249952 3440312440 4047426400 4300390550 5059283000 6880624880 8600781100 10118566000 10750976375 13761249760 17201562200 20237132000 21501952750 34403124400 43003905500 68806248800 86007811000 172015622000 344031244000