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3394224 = 243797
BaseRepresentation
bin1100111100101010110000
320101110000000
430330222300
51332103344
6200430000
740564461
oct14745260
96343000
103394224
111a09149
121178300
1391ac22
14644d68
15470a69
hex33cab0

3394224 has 80 divisors (see below), whose sum is σ = 9964640. Its totient is φ = 1119744.

The previous prime is 3394219. The next prime is 3394229. The reversal of 3394224 is 4224933.

It is a happy number.

3394224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3394219) and next prime (3394229).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394229) 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 15 ways as a sum of consecutive naturals, for example, 34944 + ... + 35040.

It is an arithmetic number, because the mean of its divisors is an integer number (124558).

Almost surely, 23394224 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 3394224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982320).

3394224 is an abundant number, since it is smaller than the sum of its proper divisors (6570416).

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

3394224 is an frugal number, since it uses more digits than its factorization.

3394224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3394224 is about 1842.3419877971. The cubic root of 3394224 is about 150.2842609644.

The spelling of 3394224 in words is "three million, three hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 144 162 194 216 243 291 324 388 432 486 582 648 729 776 873 972 1164 1296 1458 1552 1746 1944 2187 2328 2619 2916 3492 3888 4374 4656 5238 5832 6984 7857 8748 10476 11664 13968 15714 17496 20952 23571 31428 34992 41904 47142 62856 70713 94284 125712 141426 188568 212139 282852 377136 424278 565704 848556 1131408 1697112 3394224