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329115040 = 2556413209
BaseRepresentation
bin10011100111011…
…110010110100000
3211221021202221221
4103213132112200
51133223140130
652354024424
711104301032
oct2347362640
9757252857
10329115040
11159860001
1292278114
1353253037
14319d1c52
151dd6087a
hex139de5a0

329115040 has 48 divisors (see below), whose sum is σ = 778989960. Its totient is φ = 131399680.

The previous prime is 329115029. The next prime is 329115041. The reversal of 329115040 is 40511923.

It can be written as a sum of positive squares in 4 ways, for example, as 316412944 + 12702096 = 17788^2 + 3564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 329114996 and 329115014.

It is not an unprimeable number, because it can be changed into a prime (329115041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100956 + ... + 104164.

Almost surely, 2329115040 is an apocalyptic number.

It is an amenable number.

329115040 is an abundant number, since it is smaller than the sum of its proper divisors (449874920).

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

329115040 is a wasteful number, since it uses less digits than its factorization.

329115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 329115040 is about 18141.5280503049. The cubic root of 329115040 is about 690.4240479614.

Adding to 329115040 its reverse (40511923), we get a palindrome (369626963).

The spelling of 329115040 in words is "three hundred twenty-nine million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 641 1282 2564 3205 3209 5128 6410 6418 10256 12820 12836 16045 20512 25640 25672 32090 51280 51344 64180 102560 102688 128360 256720 513440 2056969 4113938 8227876 10284845 16455752 20569690 32911504 41139380 65823008 82278760 164557520 329115040