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71711304 = 23372172211
BaseRepresentation
bin1000100011000…
…11101001001000
311222221022102020
410101203221020
5121324230204
611041004440
71530351600
oct421435110
9158838366
1071711304
113752a845
1220023720
1311b1a732
149749c00
156467bd9
hex4463a48

71711304 has 144 divisors (see below), whose sum is σ = 222587280. Its totient is φ = 19192320.

The previous prime is 71711281. The next prime is 71711323. The reversal of 71711304 is 40311717.

It is a super-2 number, since 2×717113042 = 10285022242760832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339759 + ... + 339969.

It is an arithmetic number, because the mean of its divisors is an integer number (1545745).

Almost surely, 271711304 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 71711304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111293640).

71711304 is an abundant number, since it is smaller than the sum of its proper divisors (150875976).

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

71711304 is a wasteful number, since it uses less digits than its factorization.

71711304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 71711304 is about 8468.2527123368. The cubic root of 71711304 is about 415.4599902682.

It can be divided in two parts, 717 and 11304, that added together give a palindrome (12021).

The spelling of 71711304 in words is "seventy-one million, seven hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 211 238 289 294 357 392 408 422 476 578 588 633 714 833 844 867 952 1156 1176 1266 1428 1477 1666 1688 1734 2023 2312 2499 2532 2856 2954 3332 3468 3587 4046 4431 4998 5064 5908 6069 6664 6936 7174 8092 8862 9996 10339 10761 11816 12138 14161 14348 16184 17724 19992 20678 21522 24276 25109 28322 28696 31017 35448 41356 42483 43044 48552 50218 56644 60979 62034 75327 82712 84966 86088 100436 113288 121958 124068 150654 169932 175763 182937 200872 243916 248136 301308 339864 351526 365874 426853 487832 527289 602616 703052 731748 853706 1054578 1280559 1406104 1463496 1707412 2109156 2561118 2987971 3414824 4218312 5122236 5975942 8963913 10244472 11951884 17927826 23903768 35855652 71711304