Search a number
-
+
3314004 = 2232989107
BaseRepresentation
bin1100101001000101010100
320020100221220
430221011110
51322022004
6155010340
740111551
oct14510524
96210856
103314004
111963951
1211399b0
138c0565
14623a28
15456dd9
hex329154

3314004 has 48 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 1044736.

The previous prime is 3313987. The next prime is 3314009. The reversal of 3314004 is 4004133.

3314004 = T97 + T98 + ... + T274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314009) 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, 30919 + ... + 31025.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 23314004 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 3314004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

3314004 is an abundant number, since it is smaller than the sum of its proper divisors (4850796).

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

3314004 is a wasteful number, since it uses less digits than its factorization.

3314004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3314004 is about 1820.4406060072. The cubic root of 3314004 is about 149.0908564076.

Adding to 3314004 its reverse (4004133), we get a palindrome (7318137).

The spelling of 3314004 in words is "three million, three hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 12 29 58 87 89 107 116 174 178 214 267 321 348 356 428 534 642 1068 1284 2581 3103 5162 6206 7743 9309 9523 10324 12412 15486 18618 19046 28569 30972 37236 38092 57138 114276 276167 552334 828501 1104668 1657002 3314004