Search a number
-
+
71034327 = 3471323419
BaseRepresentation
bin1000011101111…
…10010111010111
311221122220210000
410032332113113
5121141044302
611014302343
71521532110
oct416762727
9157586700
1071034327
1137108161
121b9579b3
1311941560
149611207
15638231c
hex43be5d7

71034327 has 80 divisors (see below), whose sum is σ = 136604160. Its totient is φ = 35754048.

The previous prime is 71034287. The next prime is 71034349. The reversal of 71034327 is 72343017.

It is not a de Polignac number, because 71034327 - 27 = 71034199 is a prime.

It is a super-2 number, since 2×710343272 = 10091751224685858, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 71034327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71034367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169324 + ... + 169742.

It is an arithmetic number, because the mean of its divisors is an integer number (1707552).

Almost surely, 271034327 is an apocalyptic number.

71034327 is a deficient number, since it is larger than the sum of its proper divisors (65569833).

71034327 is a wasteful number, since it uses less digits than its factorization.

71034327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 71034327 is about 8428.1864597314. The cubic root of 71034327 is about 414.1484974538.

The spelling of 71034327 in words is "seventy-one million, thirty-four thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 13 21 23 27 39 63 69 81 91 117 161 189 207 273 299 351 419 483 567 621 819 897 1053 1257 1449 1863 2093 2457 2691 2933 3771 4347 5447 6279 7371 8073 8799 9637 11313 13041 16341 18837 24219 26397 28911 33939 38129 49023 56511 67459 79191 86733 114387 125281 147069 169533 202377 237573 260199 343161 375843 441207 607131 780597 876967 1029483 1127529 1821393 2630901 3088449 3382587 5464179 7892703 10147761 23678109 71034327