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338745240 = 23345104551
BaseRepresentation
bin10100001100001…
…101011110011000
3212121102001010000
4110030031132120
51143204321430
653340253000
711252200311
oct2414153630
9777361100
10338745240
11164238349
1295541160
1355245492
1432dbb608
151eb13e60
hex1430d798

338745240 has 80 divisors (see below), whose sum is σ = 1138571280. Its totient is φ = 90331200.

The previous prime is 338745229. The next prime is 338745263. The reversal of 338745240 is 42547833.

It is a happy number.

It is a super-2 number, since 2×3387452402 = 229496675245315200, 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 = 338745195 and 338745204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49036 + ... + 55515.

It is an arithmetic number, because the mean of its divisors is an integer number (14232141).

Almost surely, 2338745240 is an apocalyptic number.

338745240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338745240 is an abundant number, since it is smaller than the sum of its proper divisors (799826040).

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

338745240 is a wasteful number, since it uses less digits than its factorization.

338745240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104574 (or 104561 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 338745240 is about 18405.0330073054. The cubic root of 338745240 is about 697.0935543927.

The spelling of 338745240 in words is "three hundred thirty-eight million, seven hundred forty-five thousand, two 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 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 104551 209102 313653 418204 522755 627306 836408 940959 1045510 1254612 1568265 1881918 2091020 2509224 2822877 3136530 3763836 4182040 4704795 5645754 6273060 7527672 8468631 9409590 11291508 12546120 14114385 16937262 18819180 22583016 28228770 33874524 37638360 42343155 56457540 67749048 84686310 112915080 169372620 338745240