Search a number
-
+
3280956 = 2237139281
BaseRepresentation
bin1100100001000000111100
320011200121220
430201000330
51314442311
6154153340
736613320
oct14410074
96150556
103280956
111941038
121122850
138ab4c3
14615980
1544c206
hex32103c

3280956 has 48 divisors (see below), whose sum is σ = 8843520. Its totient is φ = 927360.

The previous prime is 3280903. The next prime is 3280957. The reversal of 3280956 is 6590823.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280957) 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, 11536 + ... + 11816.

It is an arithmetic number, because the mean of its divisors is an integer number (184240).

Almost surely, 23280956 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 3280956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421760).

3280956 is an abundant number, since it is smaller than the sum of its proper divisors (5562564).

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

3280956 is a wasteful number, since it uses less digits than its factorization.

3280956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3280956 is about 1811.3409397460. The cubic root of 3280956 is about 148.5936105581.

The spelling of 3280956 in words is "three million, two hundred eighty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 281 417 556 562 834 843 973 1124 1668 1686 1946 1967 2919 3372 3892 3934 5838 5901 7868 11676 11802 23604 39059 78118 117177 156236 234354 273413 468708 546826 820239 1093652 1640478 3280956