Search a number
-
+
3412296 = 233283571
BaseRepresentation
bin1101000001000101001000
320102100210100
431001011020
51333143141
6201045400
741001246
oct15010510
96370710
103412296
111a20788
121186860
13926214
1464b796
154760b6
hex341148

3412296 has 48 divisors (see below), whose sum is σ = 9369360. Its totient is φ = 1121760.

The previous prime is 3412273. The next prime is 3412301. The reversal of 3412296 is 6922143.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5691 + ... + 6261.

It is an arithmetic number, because the mean of its divisors is an integer number (195195).

Almost surely, 23412296 is an apocalyptic number.

3412296 is a gapful number since it is divisible by the number (36) 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 3412296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684680).

3412296 is an abundant number, since it is smaller than the sum of its proper divisors (5957064).

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

3412296 is a wasteful number, since it uses less digits than its factorization.

3412296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 659 counting only the distinct ones).

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

The square root of 3412296 is about 1847.2401035058. The cubic root of 3412296 is about 150.5505104499.

The spelling of 3412296 in words is "three million, four hundred twelve thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 571 664 747 996 1142 1494 1713 1992 2284 2988 3426 4568 5139 5976 6852 10278 13704 20556 41112 47393 94786 142179 189572 284358 379144 426537 568716 853074 1137432 1706148 3412296