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71344416 = 25311135197
BaseRepresentation
bin1000100000010…
…10000100100000
311222020200010210
410100022010200
5121231010131
611025054120
71524263133
oct420120440
9158220123
1071344416
11372aa130
121ba87340
1311a1c740
14969221a
1563e4146
hex440a120

71344416 has 96 divisors (see below), whose sum is σ = 220062528. Its totient is φ = 19952640.

The previous prime is 71344381. The next prime is 71344451. The reversal of 71344416 is 61444317.

It is an interprime number because it is at equal distance from previous prime (71344381) and next prime (71344451).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11130 + ... + 16326.

It is an arithmetic number, because the mean of its divisors is an integer number (2292318).

Almost surely, 271344416 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 71344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110031264).

71344416 is an abundant number, since it is smaller than the sum of its proper divisors (148718112).

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

71344416 is a wasteful number, since it uses less digits than its factorization.

71344416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234 (or 5226 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 71344416 is about 8446.5623776777. The cubic root of 71344416 is about 414.7502556968.

Subtracting from 71344416 its reverse (61444317), we obtain a palindrome (9900099).

The spelling of 71344416 in words is "seventy-one million, three hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 5197 6864 10394 13728 15591 20788 31182 41576 57167 62364 67561 83152 114334 124728 135122 166304 171501 202683 228668 249456 270244 343002 405366 457336 498912 540488 686004 743171 810732 914672 1080976 1372008 1486342 1621464 1829344 2161952 2229513 2744016 2972684 3242928 4459026 5488032 5945368 6485856 8918052 11890736 17836104 23781472 35672208 71344416