Search a number
-
+
3426624 = 2634661
BaseRepresentation
bin1101000100100101000000
320110002110000
431010211000
51334122444
6201240000
741061105
oct15044500
96402400
103426624
111a30523
121193000
1392c8b6
14652aac
1547a469
hex344940

3426624 has 70 divisors (see below), whose sum is σ = 10172954. Its totient is φ = 1140480.

The previous prime is 3426623. The next prime is 3426637. The reversal of 3426624 is 4266243.

3426624 is a `hidden beast` number, since 34 + 2 + 6 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 186624 = 1800^2 + 432^2 .

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 (3426623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4854 + ... + 5514.

Almost surely, 23426624 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 3426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086477).

3426624 is an abundant number, since it is smaller than the sum of its proper divisors (6746330).

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

3426624 is an equidigital number, since it uses as much as digits as its factorization.

3426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 666 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3426624 is about 1851.1142590343. The cubic root of 3426624 is about 150.7609333423.

The spelling of 3426624 in words is "three million, four hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 661 864 1296 1322 1728 1983 2592 2644 3966 5184 5288 5949 7932 10576 11898 15864 17847 21152 23796 31728 35694 42304 47592 53541 63456 71388 95184 107082 126912 142776 190368 214164 285552 380736 428328 571104 856656 1142208 1713312 3426624