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3413616 = 243192197
BaseRepresentation
bin1101000001011001110000
320102102121020
431001121300
51333213431
6201055440
741005143
oct15013160
96372536
103413616
111a21778
121187580
139269bb
1464c05a
15476696
hex341670

3413616 has 60 divisors (see below), whose sum is σ = 9354312. Its totient is φ = 1072512.

The previous prime is 3413611. The next prime is 3413623. The reversal of 3413616 is 6163143.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17230 + ... + 17426.

Almost surely, 23413616 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 3413616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677156).

3413616 is an abundant number, since it is smaller than the sum of its proper divisors (5940696).

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

3413616 is a wasteful number, since it uses less digits than its factorization.

3413616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 3413616 is about 1847.5973587338. The cubic root of 3413616 is about 150.5699207487.

Adding to 3413616 its reverse (6163143), we get a palindrome (9576759).

The spelling of 3413616 in words is "three million, four hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 197 228 304 361 394 456 591 722 788 912 1083 1182 1444 1576 2166 2364 2888 3152 3743 4332 4728 5776 7486 8664 9456 11229 14972 17328 22458 29944 44916 59888 71117 89832 142234 179664 213351 284468 426702 568936 853404 1137872 1706808 3413616