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3344814 = 234111877
BaseRepresentation
bin1100110000100110101110
320021221020000
430300212232
51324013224
6155405130
740300434
oct14604656
96257200
103344814
111985010
1211537a6
139015a5
14630d54
154610c9
hex3309ae

3344814 has 40 divisors (see below), whose sum is σ = 8180568. Its totient is φ = 1013040.

The previous prime is 3344791. The next prime is 3344819. The reversal of 3344814 is 4184433.

3344814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33448142 = 22375561389192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344819) 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 19 ways as a sum of consecutive naturals, for example, 844 + ... + 2720.

Almost surely, 23344814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090284).

3344814 is an abundant number, since it is smaller than the sum of its proper divisors (4835754).

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

3344814 is a wasteful number, since it uses less digits than its factorization.

3344814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1893 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3344814 is about 1828.8832658210. The cubic root of 3344814 is about 149.5514600832.

The spelling of 3344814 in words is "three million, three hundred forty-four thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 1877 3754 5631 11262 16893 20647 33786 41294 50679 61941 101358 123882 152037 185823 304074 371646 557469 1114938 1672407 3344814