Search a number
-
+
73814316 = 22319437529
BaseRepresentation
bin1000110011001…
…01000100101100
312010220011012120
410121211010230
5122344024231
611154032540
71554261042
oct431450454
9163804176
1073814316
1138736874
1220878750
13123a5a14
149b36392
156730d96
hex466512c

73814316 has 48 divisors (see below), whose sum is σ = 185539200. Its totient is φ = 22764672.

The previous prime is 73814311. The next prime is 73814327. The reversal of 73814316 is 61341837.

It is not an unprimeable number, because it can be changed into a prime (73814311) 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, 6040 + ... + 13568.

It is an arithmetic number, because the mean of its divisors is an integer number (3865400).

Almost surely, 273814316 is an apocalyptic number.

73814316 is a gapful number since it is divisible by the number (76) 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 73814316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92769600).

73814316 is an abundant number, since it is smaller than the sum of its proper divisors (111724884).

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

73814316 is a wasteful number, since it uses less digits than its factorization.

73814316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598 (or 7596 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 73814316 is about 8591.5258249044. The cubic root of 73814316 is about 419.4821963470.

The spelling of 73814316 in words is "seventy-three million, eight hundred fourteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1634 2451 3268 4902 7529 9804 15058 22587 30116 45174 90348 143051 286102 323747 429153 572204 647494 858306 971241 1294988 1716612 1942482 3884964 6151193 12302386 18453579 24604772 36907158 73814316