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71734432 = 2572114159
BaseRepresentation
bin1000100011010…
…01010010100000
311222222111010211
410101221102200
5121331000212
611041303504
71530506200
oct421512240
9158874124
1071734432
1137546160
1220034b94
1311b28113
149754400
15646e9a7
hex44694a0

71734432 has 72 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 27941760.

The previous prime is 71734427. The next prime is 71734451. The reversal of 71734432 is 23443717.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 71734394 and 71734403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15169 + ... + 19327.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 271734432 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 71734432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

71734432 is an abundant number, since it is smaller than the sum of its proper divisors (107528288).

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

71734432 is a wasteful number, since it uses less digits than its factorization.

71734432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4179 counting only the distinct ones).

The product of its digits is 14112, while the sum is 31.

The square root of 71734432 is about 8469.6181732118. The cubic root of 71734432 is about 415.5046495493.

The spelling of 71734432 in words is "seventy-one million, seven hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4159 4312 8318 8624 16636 17248 29113 33272 45749 58226 66544 91498 116452 133088 182996 203791 232904 320243 365992 407582 465808 640486 731984 815164 931616 1280972 1463968 1630328 2241701 2561944 3260656 4483402 5123888 6521312 8966804 10247776 17933608 35867216 71734432