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71376340 = 22572173421
BaseRepresentation
bin1000100000100…
…01110111010100
311222022021221011
410100101313110
5121233020330
611025502004
71524455200
oct420216724
9158267834
1071376340
1137321112
121baa1904
1311a31129
14969db00
1563ed82a
hex4411dd4

71376340 has 72 divisors (see below), whose sum is σ = 175786632. Its totient is φ = 24272640.

The previous prime is 71376329. The next prime is 71376343. The reversal of 71376340 is 4367317.

It can be written as a sum of positive squares in 4 ways, for example, as 2917264 + 68459076 = 1708^2 + 8274^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71376343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 169330 + ... + 169750.

It is an arithmetic number, because the mean of its divisors is an integer number (2441481).

Almost surely, 271376340 is an apocalyptic number.

71376340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71376340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87893316).

71376340 is an abundant number, since it is smaller than the sum of its proper divisors (104410292).

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

71376340 is a wasteful number, since it uses less digits than its factorization.

71376340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 71376340 is about 8448.4519291998. The cubic root of 71376340 is about 414.8121082964.

The spelling of 71376340 in words is "seventy-one million, three hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 173 196 245 346 421 490 692 842 865 980 1211 1684 1730 2105 2422 2947 3460 4210 4844 5894 6055 8420 8477 11788 12110 14735 16954 20629 24220 29470 33908 41258 42385 58940 72833 82516 84770 103145 145666 169540 206290 291332 364165 412580 509831 728330 1019662 1456660 2039324 2549155 3568817 5098310 7137634 10196620 14275268 17844085 35688170 71376340