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3304314 = 23513523
BaseRepresentation
bin1100100110101101111010
320012212200000
430212231322
51321214224
6154453430
740041366
oct14465572
96185600
103304314
111957642
121134276
138b9020
146202a6
154540c9
hex326b7a

3304314 has 48 divisors (see below), whose sum is σ = 8010912. Its totient is φ = 1014768.

The previous prime is 3304297. The next prime is 3304319. The reversal of 3304314 is 4134033.

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

It is not an unprimeable number, because it can be changed into a prime (3304319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6057 + ... + 6579.

It is an arithmetic number, because the mean of its divisors is an integer number (166894).

Almost surely, 23304314 is an apocalyptic number.

3304314 is the 972-nd nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3304314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005456).

3304314 is an abundant number, since it is smaller than the sum of its proper divisors (4706598).

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

3304314 is a wasteful number, since it uses less digits than its factorization.

3304314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3304314 is about 1817.7772140722. Note that the first 3 decimals coincide. The cubic root of 3304314 is about 148.9454028756.

Adding to 3304314 its reverse (4134033), we get a palindrome (7438347).

The spelling of 3304314 in words is "three million, three hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 523 702 1046 1053 1569 2106 3138 3159 4707 6318 6799 9414 13598 14121 20397 28242 40794 42363 61191 84726 122382 127089 183573 254178 367146 550719 1101438 1652157 3304314