Search a number
-
+
71374032 = 24321921373
BaseRepresentation
bin1000100000100…
…01010011010000
311222022011202200
410100101103100
5121232432112
611025443200
71524445362
oct420212320
9158264680
1071374032
113731a404
121baa0500
1311a30072
14969cd32
1563eccdc
hex44114d0

71374032 has 90 divisors (see below), whose sum is σ = 210968082. Its totient is φ = 22522752.

The previous prime is 71374019. The next prime is 71374057. The reversal of 71374032 is 23047317.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 207936 = 8436^2 + 456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71373987 and 71374005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51298 + ... + 52670.

Almost surely, 271374032 is an apocalyptic number.

71374032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71374032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105484041).

71374032 is an abundant number, since it is smaller than the sum of its proper divisors (139594050).

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

71374032 is a wasteful number, since it uses less digits than its factorization.

71374032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1397 counting only the distinct ones).

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

The square root of 71374032 is about 8448.3153350239. The cubic root of 71374032 is about 414.8076371758.

The spelling of 71374032 in words is "seventy-one million, three hundred seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1373 1444 2166 2736 2746 2888 3249 4119 4332 5492 5776 6498 8238 8664 10984 12357 12996 16476 17328 21968 24714 25992 26087 32952 49428 51984 52174 65904 78261 98856 104348 156522 197712 208696 234783 313044 417392 469566 495653 626088 939132 991306 1252176 1486959 1878264 1982612 2973918 3756528 3965224 4460877 5947836 7930448 8921754 11895672 17843508 23791344 35687016 71374032