Search a number
-
+
3354150 = 235259379
BaseRepresentation
bin1100110010111000100110
320022102000210
430302320212
51324313100
6155520250
740336602
oct14627046
96272023
103354150
111991028
121159086
13905907
14634502
15463c50
hex332e26

3354150 has 48 divisors (see below), whose sum is σ = 8481600. Its totient is φ = 876960.

The previous prime is 3354149. The next prime is 3354157. The reversal of 3354150 is 514533.

3354150 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-2 number, since 2×33541502 = 22500644445000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354157) 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 23 ways as a sum of consecutive naturals, for example, 8661 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (176700).

Almost surely, 23354150 is an apocalyptic number.

3354150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3354150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240800).

3354150 is an abundant number, since it is smaller than the sum of its proper divisors (5127450).

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

3354150 is a wasteful number, since it uses less digits than its factorization.

3354150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 3354150 is about 1831.4338644898. The cubic root of 3354150 is about 149.6904728367.

Adding to 3354150 its reverse (514533), we get a palindrome (3868683).

The spelling of 3354150 in words is "three million, three hundred fifty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 295 354 379 590 758 885 1137 1475 1770 1895 2274 2950 3790 4425 5685 8850 9475 11370 18950 22361 28425 44722 56850 67083 111805 134166 223610 335415 559025 670830 1118050 1677075 3354150