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3197216 = 251131293
BaseRepresentation
bin1100001100100100100000
320000102202102
430030210200
51304302331
6152305532
736114221
oct14144440
96012672
103197216
111894130
1210a22a8
1387c359
145d3248
154324cb
hex30c920

3197216 has 48 divisors (see below), whose sum is σ = 7112448. Its totient is φ = 1401600.

The previous prime is 3197203. The next prime is 3197219. The reversal of 3197216 is 6127913.

It is not an unprimeable number, because it can be changed into a prime (3197219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10766 + ... + 11058.

It is an arithmetic number, because the mean of its divisors is an integer number (148176).

Almost surely, 23197216 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 3197216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224).

3197216 is an abundant number, since it is smaller than the sum of its proper divisors (3915232).

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

3197216 is a wasteful number, since it uses less digits than its factorization.

3197216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its digits is 2268, while the sum is 29.

The square root of 3197216 is about 1788.0760610220. The cubic root of 3197216 is about 147.3185127812.

It can be divided in two parts, 31 and 97216, that multiplied together give a square (3013696 = 17362).

The spelling of 3197216 in words is "three million, one hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 293 341 352 496 586 682 992 1172 1364 2344 2728 3223 4688 5456 6446 9083 9376 10912 12892 18166 25784 36332 51568 72664 99913 103136 145328 199826 290656 399652 799304 1598608 3197216