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270738320 = 24543211373
BaseRepresentation
bin10000001000110…
…010001110010000
3200212102221011012
4100020302032100
51023302111240
642510510052
76465144356
oct2010621620
9625387135
10270738320
11129908786
1276805328
1344123bb8
1427d577d6
1518b7db65
hex10232390

270738320 has 80 divisors (see below), whose sum is σ = 648892992. Its totient is φ = 104993280.

The previous prime is 270738263. The next prime is 270738323. The reversal of 270738320 is 23837072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (270738323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725654 + ... + 726026.

Almost surely, 2270738320 is an apocalyptic number.

270738320 is a gapful number since it is divisible by the number (20) 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 270738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324446496).

270738320 is an abundant number, since it is smaller than the sum of its proper divisors (378154672).

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

270738320 is a wasteful number, since it uses less digits than its factorization.

270738320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 270738320 is about 16454.1277495952. The cubic root of 270738320 is about 646.9190049801.

The spelling of 270738320 in words is "two hundred seventy million, seven hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 211 215 344 373 422 430 688 746 844 860 1055 1492 1688 1720 1865 2110 2984 3376 3440 3730 4220 5968 7460 8440 9073 14920 16039 16880 18146 29840 32078 36292 45365 64156 72584 78703 80195 90730 128312 145168 157406 160390 181460 256624 314812 320780 362920 393515 629624 641560 725840 787030 1259248 1283120 1574060 3148120 3384229 6296240 6768458 13536916 16921145 27073832 33842290 54147664 67684580 135369160 270738320