Search a number
-
+
14034280 = 23513137197
BaseRepresentation
bin110101100010…
…010101101000
3222102000102011
4311202111220
512043044110
61220445304
7230201161
oct65422550
928360364
1014034280
117a16187
124849834
132ba4c10
141c14768
15137348a
hexd62568

14034280 has 64 divisors (see below), whose sum is σ = 34428240. Its totient is φ = 5117952.

The previous prime is 14034263. The next prime is 14034281. The reversal of 14034280 is 8243041.

It can be written as a sum of positive squares in 8 ways, for example, as 8398404 + 5635876 = 2898^2 + 2374^2 .

It is a super-2 number, since 2×140342802 = 393922030236800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14034281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71142 + ... + 71338.

Almost surely, 214034280 is an apocalyptic number.

14034280 is a gapful number since it is divisible by the number (10) 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 14034280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17214120).

14034280 is an abundant number, since it is smaller than the sum of its proper divisors (20393960).

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

14034280 is a wasteful number, since it uses less digits than its factorization.

14034280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 14034280 is about 3746.2354437488. The cubic root of 14034280 is about 241.2107795961.

The spelling of 14034280 in words is "fourteen million, thirty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 137 197 260 274 394 520 548 685 788 985 1096 1370 1576 1781 1970 2561 2740 3562 3940 5122 5480 7124 7880 8905 10244 12805 14248 17810 20488 25610 26989 35620 51220 53978 71240 102440 107956 134945 215912 269890 350857 539780 701714 1079560 1403428 1754285 2806856 3508570 7017140 14034280