Search a number
-
+
3895344 = 243371127
BaseRepresentation
bin1110110111000000110000
321022220102000
432313000300
51444122334
6215254000
745052455
oct16670060
97286360
103895344
1122206a2
12137a300
13a6504b
1473582c
1551e299
hex3b7030

3895344 has 80 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 1270080.

The previous prime is 3895343. The next prime is 3895351. The reversal of 3895344 is 4435983.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3895299 and 3895308.

It is not an unprimeable number, because it can be changed into a prime (3895343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30609 + ... + 30735.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

Almost surely, 23895344 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 3895344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

3895344 is an abundant number, since it is smaller than the sum of its proper divisors (7532496).

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

3895344 is a wasteful number, since it uses less digits than its factorization.

3895344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3895344 is about 1973.6625851447. The cubic root of 3895344 is about 157.3434271669.

The spelling of 3895344 in words is "three million, eight hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 127 142 144 213 216 254 284 381 426 432 508 568 639 762 852 1016 1136 1143 1278 1524 1704 1917 2032 2286 2556 3048 3408 3429 3834 4572 5112 6096 6858 7668 9017 9144 10224 13716 15336 18034 18288 27051 27432 30672 36068 54102 54864 72136 81153 108204 144272 162306 216408 243459 324612 432816 486918 649224 973836 1298448 1947672 3895344