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71434416 = 2433161787
BaseRepresentation
bin1000100001000…
…00000010110000
311222102020121010
410100200002300
5121241400131
611031030520
71525116414
oct420400260
9158366533
1071434416
1137360809
121bb0b440
1311a516b1
1496b6d44
156410b46
hex44200b0

71434416 has 80 divisors (see below), whose sum is σ = 193860608. Its totient is φ = 22636800.

The previous prime is 71434411. The next prime is 71434421. The reversal of 71434416 is 61443417.

It is an interprime number because it is at equal distance from previous prime (71434411) and next prime (71434421).

It is a super-2 number, since 2×714344162 = 10205751578522112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71434411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90375 + ... + 91161.

Almost surely, 271434416 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 71434416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96930304).

71434416 is an abundant number, since it is smaller than the sum of its proper divisors (122426192).

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

71434416 is a wasteful number, since it uses less digits than its factorization.

71434416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 71434416 is about 8451.8883097211. Note that the first 3 decimals coincide. The cubic root of 71434416 is about 414.9245829955.

Subtracting from 71434416 its reverse (61443417), we obtain a palindrome (9990999).

The spelling of 71434416 in words is "seventy-one million, four hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 244 248 366 372 488 496 732 744 787 976 1464 1488 1574 1891 2361 2928 3148 3782 4722 5673 6296 7564 9444 11346 12592 15128 18888 22692 24397 30256 37776 45384 48007 48794 73191 90768 96014 97588 144021 146382 192028 195176 288042 292764 384056 390352 576084 585528 768112 1152168 1171056 1488217 2304336 2976434 4464651 5952868 8929302 11905736 17858604 23811472 35717208 71434416