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3454864 = 247109283
BaseRepresentation
bin1101001011011110010000
320111112011221
431023132100
51341023424
6202014424
741236330
oct15133620
96445157
103454864
111a4a766
1211a7414
1393c6ca
1465d0c0
154839e4
hex34b790

3454864 has 40 divisors (see below), whose sum is σ = 7747520. Its totient is φ = 1461888.

The previous prime is 3454861. The next prime is 3454873. The reversal of 3454864 is 4684543.

3454864 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 (3454861) 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 7 ways as a sum of consecutive naturals, for example, 12067 + ... + 12349.

It is an arithmetic number, because the mean of its divisors is an integer number (193688).

Almost surely, 23454864 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 3454864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873760).

3454864 is an abundant number, since it is smaller than the sum of its proper divisors (4292656).

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

3454864 is a wasteful number, since it uses less digits than its factorization.

3454864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 3454864 is about 1858.7264457149. The cubic root of 3454864 is about 151.1739585434.

The spelling of 3454864 in words is "three million, four hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 283 436 566 763 872 1132 1526 1744 1981 2264 3052 3962 4528 6104 7924 12208 15848 30847 31696 61694 123388 215929 246776 431858 493552 863716 1727432 3454864