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3413808 = 2432151157
BaseRepresentation
bin1101000001011100110000
320102102212100
431001130300
51333220213
6201100400
741005536
oct15013460
96372770
103413808
111a21932
121187700
13926b08
1464c156
15476773
hex341730

3413808 has 60 divisors (see below), whose sum is σ = 9678448. Its totient is φ = 1123200.

The previous prime is 3413807. The next prime is 3413819. The reversal of 3413808 is 8083143.

It is not an unprimeable number, because it can be changed into a prime (3413801) 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, 21666 + ... + 21822.

Almost surely, 23413808 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 3413808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839224).

3413808 is an abundant number, since it is smaller than the sum of its proper divisors (6264640).

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

3413808 is a wasteful number, since it uses less digits than its factorization.

3413808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3413808 is about 1847.6493173760. The cubic root of 3413808 is about 150.5727436480.

The spelling of 3413808 in words is "three million, four hundred thirteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 157 302 314 453 471 604 628 906 942 1208 1256 1359 1413 1812 1884 2416 2512 2718 2826 3624 3768 5436 5652 7248 7536 10872 11304 21744 22608 23707 47414 71121 94828 142242 189656 213363 284484 379312 426726 568968 853452 1137936 1706904 3413808