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3440370043620 = 2232529781784313
BaseRepresentation
bin110010000100000110000…
…010001100101011100100
3110011220012022012100100200
4302010012002030223210
5422331334212343440
611152252325510500
7503362401603216
oct62040602145344
913156168170320
103440370043620
111107064221394
12476924b72430
131bc56baa3c03
14bc72c8705b6
155e75a36bc30
hex3210608cae4

3440370043620 has 144 divisors (see below), whose sum is σ = 10797153035760. Its totient is φ = 885672603648.

The previous prime is 3440370043619. The next prime is 3440370043703. The reversal of 3440370043620 is 263400730443.

It can be written as a sum of positive squares in 8 ways, for example, as 90086420736 + 3350283622884 = 300144^2 + 1830378^2 .

It is a super-2 number, since 2×34403700436202 (a number of 26 digits) contains 22 as substring.

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

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, 40762584 + ... + 40846896.

It is an arithmetic number, because the mean of its divisors is an integer number (74980229415).

Almost surely, 23440370043620 is an apocalyptic number.

3440370043620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440370043620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398576517880).

3440370043620 is an abundant number, since it is smaller than the sum of its proper divisors (7356782992140).

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

3440370043620 is a wasteful number, since it uses less digits than its factorization.

3440370043620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92174 (or 92169 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 3440370043620 in words is "three trillion, four hundred forty billion, three hundred seventy million, forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 7817 15634 23451 31268 39085 46902 70353 78170 84313 93804 117255 140706 156340 168626 226693 234510 252939 281412 337252 351765 421565 453386 469020 505878 680079 703530 758817 843130 906772 1011756 1133465 1264695 1360158 1407060 1517634 1686260 2040237 2266930 2445077 2529390 2720316 3035268 3400395 3794085 4080474 4533860 4890154 5058780 6800790 7335231 7588170 8160948 9780308 10201185 12225385 13601580 14670462 15176340 20402370 22005693 24450770 29340924 36676155 40804740 44011386 48901540 73352310 88022772 110028465 146704620 220056930 440113860 659074721 1318149442 1977224163 2636298884 3295373605 3954448326 5931672489 6590747210 7908896652 9886120815 11863344978 13181494420 19113166909 19772241630 23726689956 29658362445 38226333818 39544483260 57339500727 59316724890 76452667636 95565834545 114679001454 118633449780 172018502181 191131669090 229358002908 286697503635 344037004362 382263338180 573395007270 688074008724 860092510905 1146790014540 1720185021810 3440370043620