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272345388 = 2237107157193
BaseRepresentation
bin10000001110111…
…010100100101100
3200222110120122020
4100032322210230
51024210023023
643005150140
76514616610
oct2016724454
9628416566
10272345388
1112a806137
127725b350
1344567523
1428255340
1518d99de3
hex103ba92c

272345388 has 96 divisors (see below), whose sum is σ = 741533184. Its totient is φ = 76197888.

The previous prime is 272345377. The next prime is 272345393. The reversal of 272345388 is 883543272.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1411020 + ... + 1411212.

It is an arithmetic number, because the mean of its divisors is an integer number (7724304).

Almost surely, 2272345388 is an apocalyptic number.

272345388 is a gapful number since it is divisible by the number (28) 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 272345388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370766592).

272345388 is an abundant number, since it is smaller than the sum of its proper divisors (469187796).

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

272345388 is a wasteful number, since it uses less digits than its factorization.

272345388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 272345388 is about 16502.8902923094. The cubic root of 272345388 is about 648.1964901007.

The spelling of 272345388 in words is "two hundred seventy-two million, three hundred forty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 157 193 214 314 321 386 428 471 579 628 642 749 772 942 1099 1158 1284 1351 1498 1884 2198 2247 2316 2702 2996 3297 4053 4396 4494 5404 6594 8106 8988 13188 16212 16799 20651 30301 33598 41302 50397 60602 61953 67196 82604 90903 100794 117593 121204 123906 144557 181806 201588 212107 235186 247812 289114 352779 363612 424214 433671 470372 578228 636321 705558 848428 867342 1272642 1411116 1734684 2545284 3242207 6484414 9726621 12968828 19453242 22695449 38906484 45390898 68086347 90781796 136172694 272345388