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329795640 = 23325916099
BaseRepresentation
bin10011101010000…
…100100000111000
3211222120100120100
4103222010200320
51133411430030
652420355400
711113134216
oct2352044070
9758510510
10329795640
1115a185389
1292545b60
1353430a65
1431b2bcb6
151de47360
hex13a84838

329795640 has 48 divisors (see below), whose sum is σ = 1071837000. Its totient is φ = 87945408.

The previous prime is 329795629. The next prime is 329795651. The reversal of 329795640 is 46597923.

It is a happy number.

329795640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (329795629) and next prime (329795651).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457690 + ... + 458409.

Almost surely, 2329795640 is an apocalyptic number.

329795640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329795640 is an abundant number, since it is smaller than the sum of its proper divisors (742041360).

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

329795640 is a wasteful number, since it uses less digits than its factorization.

329795640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916116 (or 916109 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 329795640 is about 18160.2764296142. The cubic root of 329795640 is about 690.8996456570.

The spelling of 329795640 in words is "three hundred twenty-nine million, seven hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 916099 1832198 2748297 3664396 4580495 5496594 7328792 8244891 9160990 10993188 13741485 16489782 18321980 21986376 27482970 32979564 36643960 41224455 54965940 65959128 82448910 109931880 164897820 329795640