Search a number
-
+
71714304 = 293279197
BaseRepresentation
bin1000100011001…
…00011000000000
311222221110112100
410101210120000
5121324324204
611041030400
71530363414
oct421443000
9158843470
1071714304
1137532022
1220025400
1311b1bbcc
14974ad44
156468a39
hex4464600

71714304 has 120 divisors (see below), whose sum is σ = 210656160. Its totient is φ = 23482368.

The previous prime is 71714273. The next prime is 71714311. The reversal of 71714304 is 40341717.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 363934 + ... + 364130.

It is an arithmetic number, because the mean of its divisors is an integer number (1755468).

Almost surely, 271714304 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 71714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105328080).

71714304 is an abundant number, since it is smaller than the sum of its proper divisors (138941856).

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

71714304 is a wasteful number, since it uses less digits than its factorization.

71714304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 71714304 is about 8468.4298426568. The cubic root of 71714304 is about 415.4657836951.

The spelling of 71714304 in words is "seventy-one million, seven hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 197 237 256 288 316 384 394 474 512 576 591 632 711 768 788 948 1152 1182 1264 1422 1536 1576 1773 1896 2304 2364 2528 2844 3152 3546 3792 4608 4728 5056 5688 6304 7092 7584 9456 10112 11376 12608 14184 15168 15563 18912 20224 22752 25216 28368 30336 31126 37824 40448 45504 46689 50432 56736 60672 62252 75648 91008 93378 100864 113472 121344 124504 140067 151296 182016 186756 226944 249008 280134 302592 364032 373512 453888 498016 560268 747024 907776 996032 1120536 1494048 1992064 2241072 2988096 3984128 4482144 5976192 7968256 8964288 11952384 17928576 23904768 35857152 71714304