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3299364 = 2232372477
BaseRepresentation
bin1100100101100000100100
320012121212200
430211200210
51321034424
6154414500
740021065
oct14454044
96177780
103299364
111953952
121131430
138b69b3
1461c56c
154528c9
hex325824

3299364 has 36 divisors (see below), whose sum is σ = 8568924. Its totient is φ = 1069632.

The previous prime is 3299363. The next prime is 3299383. The reversal of 3299364 is 4639923.

It is a happy number.

3299364 is a `hidden beast` number, since 3 + 299 + 364 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2377764 + 921600 = 1542^2 + 960^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3299363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94 + ... + 2570.

Almost surely, 23299364 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 3299364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284462).

3299364 is an abundant number, since it is smaller than the sum of its proper divisors (5269560).

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

3299364 is a wasteful number, since it uses less digits than its factorization.

3299364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2519 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3299364 is about 1816.4151507846. The cubic root of 3299364 is about 148.8709902331.

It can be divided in two parts, 3299 and 364, that added together give a palindrome (3663).

The spelling of 3299364 in words is "three million, two hundred ninety-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2477 4954 7431 9908 14862 22293 29724 44586 89172 91649 183298 274947 366596 549894 824841 1099788 1649682 3299364