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326693448 = 233219212569
BaseRepresentation
bin10011011110001…
…111001001001000
3211202201202011100
4103132033021020
51132113142243
652230101400
711044564014
oct2336171110
9752652140
10326693448
11158456694
12914aa860
13528b5a43
1431561544
151da330d3
hex1378f248

326693448 has 72 divisors (see below), whose sum is σ = 933888150. Its totient is φ = 103158144.

The previous prime is 326693447. The next prime is 326693459. The reversal of 326693448 is 844396623.

326693448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 177902244 + 148791204 = 13338^2 + 12198^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3266934482 = 213457217932257408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (326693441) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19708 + ... + 32276.

Almost surely, 2326693448 is an apocalyptic number.

326693448 is a gapful number since it is divisible by the number (38) 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 326693448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466944075).

326693448 is an abundant number, since it is smaller than the sum of its proper divisors (607194702).

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

326693448 is a wasteful number, since it uses less digits than its factorization.

326693448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12619 (or 12593 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 326693448 is about 18074.6631503882. The cubic root of 326693448 is about 688.7265231792.

The spelling of 326693448 in words is "three hundred twenty-six million, six hundred ninety-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8664 12569 12996 25138 25992 37707 50276 75414 100552 113121 150828 226242 238811 301656 452484 477622 716433 904968 955244 1432866 1910488 2149299 2865732 4298598 4537409 5731464 8597196 9074818 13612227 17194392 18149636 27224454 36299272 40836681 54448908 81673362 108897816 163346724 326693448