Search a number
-
+
3160944 = 2436271
BaseRepresentation
bin1100000011101101110000
312221121000000
430003231300
51302122234
6151430000
735603403
oct14035560
95847000
103160944
111869956
121085300
138689a7
145c3d3a
15426899
hex303b70

3160944 has 70 divisors (see below), whose sum is σ = 9216176. Its totient is φ = 1049760.

The previous prime is 3160943. The next prime is 3160951. The reversal of 3160944 is 4490613.

It is a super-2 number, since 2×31609442 = 19983133942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3160943) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11529 + ... + 11799.

Almost surely, 23160944 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 3160944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608088).

3160944 is an abundant number, since it is smaller than the sum of its proper divisors (6055232).

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

3160944 is an equidigital number, since it uses as much as digits as its factorization.

3160944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3160944 is about 1777.9043843807. The cubic root of 3160944 is about 146.7592895203.

The spelling of 3160944 in words is "three million, one hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 271 324 432 486 542 648 729 813 972 1084 1296 1458 1626 1944 2168 2439 2916 3252 3888 4336 4878 5832 6504 7317 9756 11664 13008 14634 19512 21951 29268 39024 43902 58536 65853 87804 117072 131706 175608 197559 263412 351216 395118 526824 790236 1053648 1580472 3160944