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3834390 = 235719312
BaseRepresentation
bin1110101000001000010110
321012210210110
432220020112
51440200030
6214103450
744406660
oct16501026
97183713
103834390
11218991a
12134ab86
13a43391
1471b530
1550b1b0
hex3a8216

3834390 has 96 divisors (see below), whose sum is σ = 11439360. Its totient is φ = 803520.

The previous prime is 3834377. The next prime is 3834407. The reversal of 3834390 is 934383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123675 + ... + 123705.

It is an arithmetic number, because the mean of its divisors is an integer number (119160).

Almost surely, 23834390 is an apocalyptic number.

3834390 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 3834390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719680).

3834390 is an abundant number, since it is smaller than the sum of its proper divisors (7604970).

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

3834390 is a wasteful number, since it uses less digits than its factorization.

3834390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3834390 is about 1958.1598504719. The cubic root of 3834390 is about 156.5184101211.

It can be divided in two parts, 3834 and 390, that added together give a palindrome (4224).

The spelling of 3834390 in words is "three million, eight hundred thirty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 31 35 38 42 57 62 70 93 95 105 114 133 155 186 190 210 217 266 285 310 399 434 465 570 589 651 665 798 930 961 1085 1178 1302 1330 1767 1922 1995 2170 2883 2945 3255 3534 3990 4123 4805 5766 5890 6510 6727 8246 8835 9610 12369 13454 14415 17670 18259 20181 20615 24738 28830 33635 36518 40362 41230 54777 61845 67270 91295 100905 109554 123690 127813 182590 201810 255626 273885 383439 547770 639065 766878 1278130 1917195 3834390