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338824980 = 2232513294993
BaseRepresentation
bin10100001100100…
…000111100010100
3212121120002111100
4110030200330110
51143214344410
653342110100
711252651634
oct2414407424
9777502440
10338824980
1116429224a
129557b330
1355272870
1432ddc6c4
151eb2c8c0
hex14320f14

338824980 has 144 divisors (see below), whose sum is σ = 1145224080. Its totient is φ = 80510976.

The previous prime is 338824939. The next prime is 338824987. The reversal of 338824980 is 89428833.

It can be written as a sum of positive squares in 8 ways, for example, as 35856144 + 302968836 = 5988^2 + 17406^2 .

It is a super-2 number, since 2×3388249802 = 229604734144000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338824987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65364 + ... + 70356.

It is an arithmetic number, because the mean of its divisors is an integer number (7952945).

Almost surely, 2338824980 is an apocalyptic number.

338824980 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 338824980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572612040).

338824980 is an abundant number, since it is smaller than the sum of its proper divisors (806399100).

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

338824980 is a wasteful number, since it uses less digits than its factorization.

338824980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 338824980 is about 18407.1991351210. The cubic root of 338824980 is about 697.1482482771.

The spelling of 338824980 in words is "three hundred thirty-eight million, eight hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 4993 5220 5655 6786 7540 9986 11310 13572 14979 16965 19972 22620 24965 29958 33930 44937 49930 59916 64909 67860 74895 89874 99860 129818 144797 149790 179748 194727 224685 259636 289594 299580 324545 389454 434391 449370 579188 584181 649090 723985 778908 868782 898740 973635 1168362 1298180 1303173 1447970 1737564 1882361 1947270 2171955 2336724 2606346 2895940 2920905 3764722 3894540 4343910 5212692 5647083 5841810 6515865 7529444 8687820 9411805 11294166 11683620 13031730 16941249 18823610 22588332 26063460 28235415 33882498 37647220 56470830 67764996 84706245 112941660 169412490 338824980