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329628780 = 2232513140867
BaseRepresentation
bin10011101001011…
…011110001101100
3211222020212200100
4103221123301230
51133341110110
652413031100
711111540565
oct2351336154
9758225610
10329628780
1115a080a88
1292485490
13533a2b20
1431ac716c
151de12bc0
hex13a5bc6c

329628780 has 72 divisors (see below), whose sum is σ = 1076794992. Its totient is φ = 81138816.

The previous prime is 329628779. The next prime is 329628781. The reversal of 329628780 is 87826923.

329628780 is a `hidden beast` number, since 3 + 296 + 287 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (329628779) and next prime (329628781).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (329628781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68094 + ... + 72773.

It is an arithmetic number, because the mean of its divisors is an integer number (14955486).

Almost surely, 2329628780 is an apocalyptic number.

329628780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329628780 is an abundant number, since it is smaller than the sum of its proper divisors (747166212).

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

329628780 is a wasteful number, since it uses less digits than its factorization.

329628780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140895 (or 140890 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 329628780 is about 18155.6817553073. The cubic root of 329628780 is about 690.7831058478.

The spelling of 329628780 in words is "three hundred twenty-nine million, six hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 140867 281734 422601 563468 704335 845202 1267803 1408670 1690404 1831271 2113005 2535606 2817340 3662542 4226010 5071212 5493813 6339015 7325084 8452020 9156355 10987626 12678030 16481439 18312710 21975252 25356060 27469065 32962878 36625420 54938130 65925756 82407195 109876260 164814390 329628780