Search a number
-
+
3482664 = 233312151
BaseRepresentation
bin1101010010010000101000
320112221022120
431102100220
51342421124
6202351240
741413353
oct15222050
96487276
103482664
111a69639
1211bb520
1394c263
1466929a
1548bd79
hex352428

3482664 has 48 divisors (see below), whose sum is σ = 9056160. Its totient is φ = 1116000.

The previous prime is 3482627. The next prime is 3482669. The reversal of 3482664 is 4662843.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3482669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22989 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (188670).

Almost surely, 23482664 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 3482664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528080).

3482664 is an abundant number, since it is smaller than the sum of its proper divisors (5573496).

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

3482664 is a wasteful number, since it uses less digits than its factorization.

3482664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 3482664 is about 1866.1897009683. The cubic root of 3482664 is about 151.5783559208.

The spelling of 3482664 in words is "three million, four hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 151 186 248 302 372 453 604 744 906 961 1208 1812 1922 2883 3624 3844 4681 5766 7688 9362 11532 14043 18724 23064 28086 37448 56172 112344 145111 290222 435333 580444 870666 1160888 1741332 3482664