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344653980 = 2235112291637
BaseRepresentation
bin10100100010110…
…000000010011100
3220000112020101020
4110202300002130
51201212411410
654111044140
711353340046
oct2442600234
9800466336
10344653980
11167603700
1297510650
1356533a88
1433ab8a96
15203cea70
hex148b009c

344653980 has 144 divisors (see below), whose sum is σ = 1097984160. Its totient is φ = 80622080.

The previous prime is 344653973. The next prime is 344653999. The reversal of 344653980 is 89356443.

It is a congruent number.

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, 209722 + ... + 211358.

It is an arithmetic number, because the mean of its divisors is an integer number (7624890).

Almost surely, 2344653980 is an apocalyptic number.

344653980 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 344653980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548992080).

344653980 is an abundant number, since it is smaller than the sum of its proper divisors (753330180).

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

344653980 is a wasteful number, since it uses less digits than its factorization.

344653980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 344653980 is about 18564.8587390263. The cubic root of 344653980 is about 701.1233527534.

The spelling of 344653980 in words is "three hundred forty-four million, six hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 121 132 145 165 174 220 242 290 319 330 348 363 435 484 580 605 638 660 726 870 957 1210 1276 1452 1595 1637 1740 1815 1914 2420 3190 3274 3509 3630 3828 4785 4911 6380 6548 7018 7260 8185 9570 9822 10527 14036 16370 17545 18007 19140 19644 21054 24555 32740 35090 36014 42108 47473 49110 52635 54021 70180 72028 90035 94946 98220 105270 108042 142419 180070 189892 198077 210540 216084 237365 270105 284838 360140 396154 474730 522203 540210 569676 594231 712095 792308 949460 990385 1044406 1080420 1188462 1424190 1566609 1980770 2088812 2376924 2611015 2848380 2971155 3133218 3961540 5222030 5744233 5942310 6266436 7833045 10444060 11488466 11884620 15666090 17232699 22976932 28721165 31332180 34465398 57442330 68930796 86163495 114884660 172326990 344653980