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3322296 = 23351709
BaseRepresentation
bin1100101011000110111000
320020210100000
430223012320
51322303141
6155113000
740144665
oct14530670
96223300
103322296
11196a0aa
121142760
138c4273
14626a6c
154595b6
hex32b1b8

3322296 has 48 divisors (see below), whose sum is σ = 9336600. Its totient is φ = 1106784.

The previous prime is 3322279. The next prime is 3322337. The reversal of 3322296 is 6922233.

3322296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33222962 = 22075301423232, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1090 + ... + 2798.

Almost surely, 23322296 is an apocalyptic number.

3322296 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 3322296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668300).

3322296 is an abundant number, since it is smaller than the sum of its proper divisors (6014304).

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

3322296 is a wasteful number, since it uses less digits than its factorization.

3322296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1714 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3322296 is about 1822.7166537891. The cubic root of 3322296 is about 149.2151000441.

It can be divided in two parts, 332 and 2296, that added together give a triangular number (2628 = T72).

The spelling of 3322296 in words is "three million, three hundred twenty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1709 1944 3418 5127 6836 10254 13672 15381 20508 30762 41016 46143 61524 92286 123048 138429 184572 276858 369144 415287 553716 830574 1107432 1661148 3322296