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3413748 = 2231379277
BaseRepresentation
bin1101000001011011110100
320102102210010
431001123310
51333214443
6201100220
741005422
oct15013364
96372703
103413748
111a21888
121187670
13926a90
1464c112
15476733
hex3416f4

3413748 has 48 divisors (see below), whose sum is σ = 8718080. Its totient is φ = 1033344.

The previous prime is 3413741. The next prime is 3413759. The reversal of 3413748 is 8473143.

3413748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34137483 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413741) 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, 12186 + ... + 12462.

Almost surely, 23413748 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 3413748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359040).

3413748 is an abundant number, since it is smaller than the sum of its proper divisors (5304332).

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

3413748 is a wasteful number, since it uses less digits than its factorization.

3413748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 3413748 is about 1847.6330804573. The cubic root of 3413748 is about 150.5718615033.

The spelling of 3413748 in words is "three million, four hundred thirteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 237 277 316 474 554 831 948 1027 1108 1662 2054 3081 3324 3601 4108 6162 7202 10803 12324 14404 21606 21883 43212 43766 65649 87532 131298 262596 284479 568958 853437 1137916 1706874 3413748