Search a number
-
+
3978390 = 235131012
BaseRepresentation
bin1111001011010010010110
321111010022210
433023102112
52004302030
6221134250
745546543
oct17132226
97433283
103978390
112278029
1213ba386
13a93aa0
14757bca
15538bb0
hex3cb496

3978390 has 48 divisors (see below), whose sum is σ = 10385424. Its totient is φ = 969600.

The previous prime is 3978349. The next prime is 3978421. The reversal of 3978390 is 938793.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39340 + ... + 39440.

It is an arithmetic number, because the mean of its divisors is an integer number (216363).

Almost surely, 23978390 is an apocalyptic number.

3978390 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 3978390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192712).

3978390 is an abundant number, since it is smaller than the sum of its proper divisors (6407034).

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

3978390 is a wasteful number, since it uses less digits than its factorization.

3978390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 3978390 is about 1994.5901834713. The cubic root of 3978390 is about 158.4537243791.

The spelling of 3978390 in words is "three million, nine hundred seventy-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 390 505 606 1010 1313 1515 2626 3030 3939 6565 7878 10201 13130 19695 20402 30603 39390 51005 61206 102010 132613 153015 265226 306030 397839 663065 795678 1326130 1989195 3978390