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71342656 = 2671131467
BaseRepresentation
bin1000100000010…
…01101001000000
311222020120201121
410100021221000
5121230431111
611025042024
71524255040
oct420115100
9158216647
1071342656
11372a8880
121ba86314
1311a1b9b8
149691720
1563e3871
hex4409a40

71342656 has 112 divisors (see below), whose sum is σ = 182587392. Its totient is φ = 26841600.

The previous prime is 71342653. The next prime is 71342657. The reversal of 71342656 is 65624317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (71342653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152535 + ... + 153001.

Almost surely, 271342656 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 71342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91293696).

71342656 is an abundant number, since it is smaller than the sum of its proper divisors (111244736).

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

71342656 is a wasteful number, since it uses less digits than its factorization.

71342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 71342656 is about 8446.4581926391. The cubic root of 71342656 is about 414.7468451685.

The spelling of 71342656 in words is "seventy-one million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 154 176 217 224 248 308 341 352 434 448 467 496 616 682 704 868 934 992 1232 1364 1736 1868 1984 2387 2464 2728 3269 3472 3736 4774 4928 5137 5456 6538 6944 7472 9548 10274 10912 13076 13888 14477 14944 19096 20548 21824 26152 28954 29888 35959 38192 41096 52304 57908 71918 76384 82192 101339 104608 115816 143836 152768 159247 164384 202678 209216 231632 287672 318494 328768 405356 463264 575344 636988 810712 926528 1114729 1150688 1273976 1621424 2229458 2301376 2547952 3242848 4458916 5095904 6485696 8917832 10191808 17835664 35671328 71342656