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338507640 = 23335379827
BaseRepresentation
bin10100001011010…
…011011101111000
3212120221222012000
4110023103131320
51143124221030
653331221000
711250160512
oct2413233570
9776858160
10338507640
11164095889
1295447760
13551912a3
1432d58bb2
151eab8860
hex142d3778

338507640 has 128 divisors (see below), whose sum is σ = 1132704000. Its totient is φ = 89921664.

The previous prime is 338507627. The next prime is 338507641. The reversal of 338507640 is 46705833.

It is a happy number.

338507640 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 0 + 7 + 640 = 666.

It is a super-2 number, since 2×3385076402 = 229174844676739200, which 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 = 338507595 and 338507604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338507641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408907 + ... + 409733.

It is an arithmetic number, because the mean of its divisors is an integer number (8849250).

Almost surely, 2338507640 is an apocalyptic number.

338507640 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 338507640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566352000).

338507640 is an abundant number, since it is smaller than the sum of its proper divisors (794196360).

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

338507640 is a wasteful number, since it uses less digits than its factorization.

338507640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 338507640 is about 18398.5771188970. The cubic root of 338507640 is about 696.9305329940.

The spelling of 338507640 in words is "three hundred thirty-eight million, five hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 379 540 758 827 1080 1137 1516 1654 1895 2274 2481 3032 3308 3411 3790 4135 4548 4962 5685 6616 6822 7443 7580 8270 9096 9924 10233 11370 12405 13644 14886 15160 16540 17055 19848 20466 22329 22740 24810 27288 29772 33080 34110 37215 40932 44658 45480 49620 51165 59544 68220 74430 81864 89316 99240 102330 111645 136440 148860 178632 204660 223290 297720 313433 409320 446580 626866 893160 940299 1253732 1567165 1880598 2507464 2820897 3134330 3761196 4701495 5641794 6268660 7522392 8462691 9402990 11283588 12537320 14104485 16925382 18805980 22567176 28208970 33850764 37611960 42313455 56417940 67701528 84626910 112835880 169253820 338507640