Search a number
-
+
3275940 = 223571769
BaseRepresentation
bin1100011111110010100100
320011102202010
430133302210
51314312230
6154114220
736562563
oct14376244
96142663
103275940
111938298
12111b970
138a9135
14613bda
1544a9b0
hex31fca4

3275940 has 48 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 860160.

The previous prime is 3275939. The next prime is 3275953. The reversal of 3275940 is 495723.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3275898 and 3275907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3876 + ... + 4644.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 23275940 is an apocalyptic number.

3275940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3275940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3275940 is an abundant number, since it is smaller than the sum of its proper divisors (6037980).

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

3275940 is a wasteful number, since it uses less digits than its factorization.

3275940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3275940 is about 1809.9558005653. The cubic root of 3275940 is about 148.5178475074.

The spelling of 3275940 in words is "three million, two hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 769 852 1065 1420 1538 2130 2307 3076 3845 4260 4614 7690 9228 11535 15380 23070 46140 54599 109198 163797 218396 272995 327594 545990 655188 818985 1091980 1637970 3275940