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323403040 = 2552777297
BaseRepresentation
bin10011010001101…
…011110100100000
3211112112120120101
4103101223310200
51130242344130
652031352144
711004611002
oct2321536440
9745476511
10323403040
11156609544
1290382654
135200315c
1430d46372
151d5d31ca
hex1346bd20

323403040 has 48 divisors (see below), whose sum is σ = 766903032. Its totient is φ = 128876544.

The previous prime is 323403007. The next prime is 323403079. The reversal of 323403040 is 40304323.

It can be written as a sum of positive squares in 4 ways, for example, as 181602576 + 141800464 = 13476^2 + 11908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 323402999 and 323403017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40672 + ... + 47968.

Almost surely, 2323403040 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 323403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383451516).

323403040 is an abundant number, since it is smaller than the sum of its proper divisors (443499992).

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

323403040 is a wasteful number, since it uses less digits than its factorization.

323403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 323403040 is about 17983.4101326751. The cubic root of 323403040 is about 686.4064660707.

Adding to 323403040 its reverse (40304323), we get a palindrome (363707363).

The spelling of 323403040 in words is "three hundred twenty-three million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 277 554 1108 1385 2216 2770 4432 5540 7297 8864 11080 14594 22160 29188 36485 44320 58376 72970 116752 145940 233504 291880 583760 1167520 2021269 4042538 8085076 10106345 16170152 20212690 32340304 40425380 64680608 80850760 161701520 323403040