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71443344 = 243719331
BaseRepresentation
bin1000100001000…
…10001110010000
311222102200211210
410100202032100
5121242141334
611031140120
71525154430
oct420421620
9158380753
1071443344
1137367495
121bb14640
1311a5578b
1496ba2c0
1564135e9
hex4422390

71443344 has 160 divisors (see below), whose sum is σ = 229826560. Its totient is φ = 18714240.

The previous prime is 71443343. The next prime is 71443349. The reversal of 71443344 is 44334417.

It is a super-3 number, since 3×714433443 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71443343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2304609 + ... + 2304639.

It is an arithmetic number, because the mean of its divisors is an integer number (1436416).

Almost surely, 271443344 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 71443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114913280).

71443344 is an abundant number, since it is smaller than the sum of its proper divisors (158383216).

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

71443344 is a wasteful number, since it uses less digits than its factorization.

71443344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 71443344 is about 8452.4164592145. The cubic root of 71443344 is about 414.9418682788.

The spelling of 71443344 in words is "seventy-one million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 112 114 124 133 152 168 186 217 228 248 266 304 336 361 372 399 434 456 496 532 589 651 722 744 798 868 912 1064 1083 1178 1302 1444 1488 1596 1736 1767 2128 2166 2356 2527 2604 2888 3192 3472 3534 4123 4332 4712 5054 5208 5776 6384 6859 7068 7581 8246 8664 9424 10108 10416 11191 12369 13718 14136 15162 16492 17328 20216 20577 22382 24738 27436 28272 30324 32984 33573 40432 41154 44764 48013 49476 54872 60648 65968 67146 78337 82308 89528 96026 98952 109744 121296 134292 144039 156674 164616 179056 192052 197904 212629 235011 268584 288078 313348 329232 384104 425258 470022 537168 576156 626696 637887 768208 850516 940044 1152312 1253392 1275774 1488403 1701032 1880088 2304624 2551548 2976806 3402064 3760176 4465209 5103096 5953612 8930418 10206192 11907224 17860836 23814448 35721672 71443344