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271434912 = 25372193037
BaseRepresentation
bin10000001011011…
…100010010100000
3200220202022200220
4100023130102200
51023441404122
642533443040
76504105300
oct2013342240
9626668626
10271434912
1112a244081
1276aa0480
1344308c98
1428099600
1518c6a25c
hex102dc4a0

271434912 has 144 divisors (see below), whose sum is σ = 872756640. Its totient is φ = 73446912.

The previous prime is 271434899. The next prime is 271434967. The reversal of 271434912 is 219434172.

It is a super-2 number, since 2×2714349122 = 147353822904895488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87858 + ... + 90894.

It is an arithmetic number, because the mean of its divisors is an integer number (6060810).

Almost surely, 2271434912 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 271434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436378320).

271434912 is an abundant number, since it is smaller than the sum of its proper divisors (601321728).

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

271434912 is a wasteful number, since it uses less digits than its factorization.

271434912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3068 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 271434912 is about 16475.2818488789. The cubic root of 271434912 is about 647.4733565857.

The spelling of 271434912 in words is "two hundred seventy-one million, four hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3037 3192 3724 4256 4704 5586 6074 6384 7448 9111 11172 12148 12768 14896 18222 21259 22344 24296 29792 36444 42518 44688 48592 57703 63777 72888 85036 89376 97184 115406 127554 145776 148813 170072 173109 230812 255108 291552 297626 340144 346218 403921 446439 461624 510216 595252 680288 692436 807842 892878 923248 1020432 1190504 1211763 1384872 1615684 1785756 1846496 2040864 2381008 2423526 2769744 2827447 3231368 3571512 4762016 4847052 5539488 5654894 6462736 7143024 8482341 9694104 11309788 12925472 14286048 16964682 19388208 22619576 33929364 38776416 45239152 67858728 90478304 135717456 271434912