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3326424 = 2331731263
BaseRepresentation
bin1100101100000111011000
320020222222220
430230013120
51322421144
6155144040
740163013
oct14540730
96228886
103326424
111972212
121145020
138c60ca
1462837a
1545a919
hex32c1d8

3326424 has 64 divisors (see below), whose sum is σ = 9123840. Its totient is φ = 1006080.

The previous prime is 3326423. The next prime is 3326431. The reversal of 3326424 is 4246233.

It is a happy number.

It is a super-2 number, since 2×33264242 = 22130193255552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 37 + 311 + 2 + 64 + 43 + 221 + 410 .

It is a junction number, because it is equal to n+sod(n) for n = 3326394 and 3326403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3326423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12517 + ... + 12779.

It is an arithmetic number, because the mean of its divisors is an integer number (142560).

Almost surely, 23326424 is an apocalyptic number.

3326424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3326424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561920).

3326424 is an abundant number, since it is smaller than the sum of its proper divisors (5797416).

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

3326424 is a wasteful number, since it uses less digits than its factorization.

3326424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 3326424 is about 1823.8486779336. The cubic root of 3326424 is about 149.2768750933.

3326424 divided by its sum of digits (24) gives a triangular number (138601 = T526).

The spelling of 3326424 in words is "three million, three hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 263 372 408 526 527 744 789 1052 1054 1578 1581 2104 2108 3156 3162 4216 4471 6312 6324 8153 8942 12648 13413 16306 17884 24459 26826 32612 35768 48918 53652 65224 97836 107304 138601 195672 277202 415803 554404 831606 1108808 1663212 3326424