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272342196 = 22337253971
BaseRepresentation
bin10000001110111…
…001110010110100
3200222110102021000
4100032321302310
51024204422241
643005123300
76514604400
oct2016716264
9628412230
10272342196
1112a8037a5
1277259530
1344565c39
1428254100
1518d98eb6
hex103b9cb4

272342196 has 144 divisors (see below), whose sum is σ = 837708480. Its totient is φ = 76265280.

The previous prime is 272342183. The next prime is 272342201. The reversal of 272342196 is 691243272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 272342196.

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, 279991 + ... + 280961.

It is an arithmetic number, because the mean of its divisors is an integer number (5817420).

Almost surely, 2272342196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272342196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418854240).

272342196 is an abundant number, since it is smaller than the sum of its proper divisors (565366284).

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

272342196 is a wasteful number, since it uses less digits than its factorization.

272342196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1036 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 272342196 is about 16502.7935816940. The cubic root of 272342196 is about 648.1939577143.

The spelling of 272342196 in words is "two hundred seventy-two million, three hundred forty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 53 54 63 84 98 106 108 126 147 159 189 196 212 252 294 318 371 378 441 477 588 636 742 756 882 954 971 1113 1323 1431 1484 1764 1908 1942 2226 2597 2646 2862 2913 3339 3884 4452 5194 5292 5724 5826 6678 6797 7791 8739 10017 10388 11652 13356 13594 15582 17478 20034 20391 23373 26217 27188 31164 34956 40068 40782 46746 47579 51463 52434 61173 70119 81564 93492 95158 102926 104868 122346 140238 142737 154389 183519 190316 205852 244692 280476 285474 308778 360241 367038 428211 463167 570948 617556 720482 734076 856422 926334 1080723 1284633 1389501 1440964 1712844 1852668 2161446 2521687 2569266 2779002 3242169 4322892 5043374 5138532 5558004 6484338 7565061 9726507 10086748 12968676 15130122 19453014 22695183 30260244 38906028 45390366 68085549 90780732 136171098 272342196