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3434464 = 25112887
BaseRepresentation
bin1101000110011111100000
320110111012101
431012133200
51334400324
6201340144
741123005
oct15063740
96414171
103434464
111a36400
121197654
13933337
146558ac
1547c944
hex3467e0

3434464 has 36 divisors (see below), whose sum is σ = 7440552. Its totient is φ = 1559360.

The previous prime is 3434443. The next prime is 3434467. The reversal of 3434464 is 4644343.

3434464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434467) 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 5 ways as a sum of consecutive naturals, for example, 3429 + ... + 4315.

It is an arithmetic number, because the mean of its divisors is an integer number (206682).

Almost surely, 23434464 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 3434464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720276).

3434464 is an abundant number, since it is smaller than the sum of its proper divisors (4006088).

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

3434464 is a wasteful number, since it uses less digits than its factorization.

3434464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 900 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 3434464 is about 1853.2306926014. The cubic root of 3434464 is about 150.8758244060.

The spelling of 3434464 in words is "three million, four hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 887 968 1774 1936 3548 3872 7096 9757 14192 19514 28384 39028 78056 107327 156112 214654 312224 429308 858616 1717232 3434464