Search a number
-
+
3297144 = 233374779
BaseRepresentation
bin1100100100111101111000
320012111211110
430210331320
51321002034
6154400320
740011444
oct14447570
96174743
103297144
111952214
1211300a0
138b5996
1461b824
15451de9
hex324f78

3297144 has 64 divisors (see below), whose sum is σ = 8755200. Its totient is φ = 1033344.

The previous prime is 3297143. The next prime is 3297149. The reversal of 3297144 is 4417923.

It is a happy number.

Its product of digits (6048) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3297143) 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, 41697 + ... + 41775.

It is an arithmetic number, because the mean of its divisors is an integer number (136800).

Almost surely, 23297144 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 3297144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377600).

3297144 is an abundant number, since it is smaller than the sum of its proper divisors (5458056).

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

3297144 is a wasteful number, since it uses less digits than its factorization.

3297144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 3297144 is about 1815.8039541757. The cubic root of 3297144 is about 148.8375931146.

The spelling of 3297144 in words is "three million, two hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 47 74 79 94 111 141 148 158 188 222 237 282 296 316 376 444 474 564 632 888 948 1128 1739 1896 2923 3478 3713 5217 5846 6956 7426 8769 10434 11139 11692 13912 14852 17538 20868 22278 23384 29704 35076 41736 44556 70152 89112 137381 274762 412143 549524 824286 1099048 1648572 3297144