Search a number
-
+
3314520 = 233551131
BaseRepresentation
bin1100101001001101011000
320020101200000
430221031120
51322031040
6155013000
740113216
oct14511530
96211600
103314520
111964280
12113a160
138c0871
14623cb6
15457130
hex329358

3314520 has 192 divisors, whose sum is σ = 12579840. Its totient is φ = 777600.

The previous prime is 3314513. The next prime is 3314527. The reversal of 3314520 is 254133.

It is an interprime number because it is at equal distance from previous prime (3314513) and next prime (3314527).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3314493 and 3314502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106905 + ... + 106935.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

Almost surely, 23314520 is an apocalyptic number.

3314520 is a gapful number since it is divisible by the number (30) 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 3314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

3314520 is an abundant number, since it is smaller than the sum of its proper divisors (9265320).

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

3314520 is a wasteful number, since it uses less digits than its factorization.

3314520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3314520 is about 1820.5823244226. The cubic root of 3314520 is about 149.0985939651.

Adding to 3314520 its reverse (254133), we get a palindrome (3568653).

It can be divided in two parts, 331 and 4520, that added together give a triangular number (4851 = T98).

The spelling of 3314520 in words is "three million, three hundred fourteen thousand, five hundred twenty".