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323340040 = 235371971109
BaseRepresentation
bin10011010001011…
…100011100001000
3211112102101011001
4103101130130020
51130233340130
652030144344
711004226222
oct2321343410
9745371131
10323340040
11156576181
12903520b4
1351cb058a
1430d2b412
151d5be6ca
hex1345c708

323340040 has 64 divisors (see below), whose sum is σ = 751647600. Its totient is φ = 125088768.

The previous prime is 323339999. The next prime is 323340047. The reversal of 323340040 is 40043323.

It can be written as a sum of positive squares in 8 ways, for example, as 209149444 + 114190596 = 14462^2 + 10686^2 .

It is not an unprimeable number, because it can be changed into a prime (323340047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291006 + ... + 292114.

Almost surely, 2323340040 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 323340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375823800).

323340040 is an abundant number, since it is smaller than the sum of its proper divisors (428307560).

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

323340040 is a wasteful number, since it uses less digits than its factorization.

323340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

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

The square root of 323340040 is about 17981.6584329700. The cubic root of 323340040 is about 686.3618917467.

Adding to 323340040 its reverse (40043323), we get a palindrome (363383363).

The spelling of 323340040 in words is "three hundred twenty-three million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 197 296 370 394 740 788 985 1109 1480 1576 1970 2218 3940 4436 5545 7289 7880 8872 11090 14578 22180 29156 36445 41033 44360 58312 72890 82066 145780 164132 205165 218473 291560 328264 410330 436946 820660 873892 1092365 1641320 1747784 2184730 4369460 8083501 8738920 16167002 32334004 40417505 64668008 80835010 161670020 323340040