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344089049856 = 2832361319339
BaseRepresentation
bin1010000000111010100…
…11100011101100000000
31012220011011020211010120
411000131103203230000
521114143244043411
6422023342300240
733600563444316
oct5003523435400
91186134224116
10344089049856
11122a22330a92
125682a887680
13265a80b11a6
14129228040b6
158e3d15b106
hex501d4e3b00

344089049856 has 144 divisors (see below), whose sum is σ = 971263668480. Its totient is φ = 107910696960.

The previous prime is 344089049827. The next prime is 344089049869. The reversal of 344089049856 is 658940980443.

It is a self number, because there is not a number n which added to its sum of digits gives 344089049856.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917835 + ... + 1237173.

Almost surely, 2344089049856 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 344089049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485631834240).

344089049856 is an abundant number, since it is smaller than the sum of its proper divisors (627174618624).

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

344089049856 is a wasteful number, since it uses less digits than its factorization.

344089049856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319442 (or 319428 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 344089049856 in words is "three hundred forty-four billion, eighty-nine million, forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 64 69 92 96 122 128 138 183 184 192 244 256 276 366 368 384 488 552 732 736 768 976 1104 1403 1464 1472 1952 2208 2806 2928 2944 3904 4209 4416 5612 5856 5888 7808 8418 8832 11224 11712 15616 16836 17664 22448 23424 33672 44896 46848 67344 89792 134688 179584 269376 319339 359168 538752 638678 958017 1077504 1277356 1916034 2554712 3832068 5109424 7344797 7664136 10218848 14689594 15328272 19479679 20437696 22034391 29379188 30656544 38959358 40875392 44068782 58439037 58758376 61313088 77918716 81750784 88137564 116878074 117516752 122626176 155837432 176275128 233756148 235033504 245252352 311674864 352550256 448032617 467512296 470067008 623349728 705100512 896065234 935024592 940134016 1246699456 1344097851 1410201024 1792130468 1870049184 1880268032 2493398912 2688195702 2820402048 3584260936 3740098368 4986797824 5376391404 5640804096 7168521872 7480196736 10752782808 14337043744 14960393472 21505565616 28674087488 43011131232 57348174976 86022262464 114696349952 172044524928 344089049856