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271741392 = 2434131272
BaseRepresentation
bin10000001100100…
…111000111010000
3200221022220010000
4100030213013100
51024031211032
642544210000
76506522646
oct2014470720
9627286100
10271741392
1112a43336a
1277009900
13443b5630
1428139196
1518ccae7c
hex103271d0

271741392 has 150 divisors (see below), whose sum is σ = 853720098. Its totient is φ = 82954368.

The previous prime is 271741387. The next prime is 271741403. The reversal of 271741392 is 293147172.

It can be written as a sum of positive squares in only one way, i.e., 188128656 + 83612736 = 13716^2 + 9144^2 .

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2139633 + ... + 2139759.

Almost surely, 2271741392 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 271741392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426860049).

271741392 is an abundant number, since it is smaller than the sum of its proper divisors (581978706).

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

271741392 is a wasteful number, since it uses less digits than its factorization.

271741392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 145 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 271741392 is about 16484.5804314214. The cubic root of 271741392 is about 647.7169545735.

The spelling of 271741392 in words is "two hundred seventy-one million, seven hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 127 144 156 162 208 216 234 254 312 324 351 381 432 468 508 624 648 702 762 936 1016 1053 1143 1296 1404 1524 1651 1872 2032 2106 2286 2808 3048 3302 3429 4212 4572 4953 5616 6096 6604 6858 8424 9144 9906 10287 13208 13716 14859 16129 16848 18288 19812 20574 26416 27432 29718 32258 39624 41148 44577 48387 54864 59436 64516 79248 82296 89154 96774 118872 129032 133731 145161 164592 178308 193548 209677 237744 258064 267462 290322 356616 387096 419354 435483 534924 580644 629031 713232 774192 838708 870966 1069848 1161288 1258062 1306449 1677416 1741932 1887093 2139696 2322576 2516124 2612898 3354832 3483864 3774186 5032248 5225796 5661279 6967728 7548372 10064496 10451592 11322558 15096744 16983837 20903184 22645116 30193488 33967674 45290232 67935348 90580464 135870696 271741392