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329948140 = 225103160169
BaseRepresentation
bin10011101010101…
…001101111101100
3211222212002202111
4103222221233230
51133431320030
652423533404
711114340634
oct2352515754
9758762674
10329948140
1115a279a15
12925ba264
13534852b2
1431b6b6c4
151de7762a
hex13aa9bec

329948140 has 24 divisors (see below), whose sum is σ = 699622560. Its totient is φ = 130697088.

The previous prime is 329948117. The next prime is 329948149. The reversal of 329948140 is 41849923.

It is a junction number, because it is equal to n+sod(n) for n = 329948093 and 329948102.

It is not an unprimeable number, because it can be changed into a prime (329948149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78025 + ... + 82144.

It is an arithmetic number, because the mean of its divisors is an integer number (29150940).

Almost surely, 2329948140 is an apocalyptic number.

It is an amenable number.

329948140 is an abundant number, since it is smaller than the sum of its proper divisors (369674420).

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

329948140 is a wasteful number, since it uses less digits than its factorization.

329948140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160281 (or 160279 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 329948140 is about 18164.4746689796. The cubic root of 329948140 is about 691.0061216553.

The spelling of 329948140 in words is "three hundred twenty-nine million, nine hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 103 206 412 515 1030 2060 160169 320338 640676 800845 1601690 3203380 16497407 32994814 65989628 82487035 164974070 329948140