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334440323244 = 22321931127124193
BaseRepresentation
bin1001101110111100011…
…00100101100010101100
31011222020201110201111200
410313132030211202230
520434413210320434
6413350104445500
733106512562116
oct4673614454254
91158221421450
10334440323244
11119920930965
1254997479890
13256cb1046c1
14122891a03b6
158a76039199
hex4dde3258ac

334440323244 has 144 divisors (see below), whose sum is σ = 925831495680. Its totient is φ = 101400284160.

The previous prime is 334440323233. The next prime is 334440323387. The reversal of 334440323244 is 442323044433.

334440323244 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 403 + 2 + 3 + 244 = 666.

334440323244 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3344403232442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334440323199 and 334440323208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2630812 + ... + 2755004.

Almost surely, 2334440323244 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 334440323244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462915747840).

334440323244 is an abundant number, since it is smaller than the sum of its proper divisors (591391172436).

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

334440323244 is a wasteful number, since it uses less digits than its factorization.

334440323244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124380 (or 124375 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 334440323244 its reverse (442323044433), we get a palindrome (776763367677).

The spelling of 334440323244 in words is "three hundred thirty-four billion, four hundred forty million, three hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 127 171 186 228 254 279 342 372 381 508 558 589 684 762 1116 1143 1178 1524 1767 2286 2356 2413 3534 3937 4572 4826 5301 7068 7239 7874 9652 10602 11811 14478 15748 21204 21717 23622 28956 35433 43434 47244 70866 74803 86868 124193 141732 149606 224409 248386 299212 372579 448818 496772 673227 745158 897636 1117737 1346454 1490316 2235474 2359667 2692908 3849983 4470948 4719334 7079001 7699966 9438668 11549949 14158002 15399932 15772511 21237003 23099898 28316004 31545022 34649847 42474006 46199796 47317533 63090044 69299694 73149677 84948012 94635066 138599388 141952599 146299354 189270132 219449031 283905198 292598708 299677709 438898062 488947841 567810396 599355418 658347093 877796124 899033127 977895682 1198710836 1316694186 1466843523 1798066254 1955791364 2633388372 2697099381 2933687046 3596132508 4400530569 5394198762 5867374092 8801061138 9290008979 10788397524 17602122276 18580017958 27870026937 37160035916 55740053874 83610080811 111480107748 167220161622 334440323244