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730206828 = 2232131560271
BaseRepresentation
bin101011100001100…
…001001001101100
31212220000100110100
4223201201021230
52443413104303
6200242511100
724044440611
oct5341411154
91786010410
10730206828
1134520121a
12184665490
13b8387560
146cd9c508
154418c8a3
hex2b86126c

730206828 has 36 divisors (see below), whose sum is σ = 1987786528. Its totient is φ = 224678880.

The previous prime is 730206817. The next prime is 730206889. The reversal of 730206828 is 828602037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 730206792 and 730206801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 779668 + ... + 780603.

Almost surely, 2730206828 is an apocalyptic number.

730206828 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

730206828 is an abundant number, since it is smaller than the sum of its proper divisors (1257579700).

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

730206828 is a wasteful number, since it uses less digits than its factorization.

730206828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560294 (or 1560289 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 730206828 is about 27022.3394250017. The cubic root of 730206828 is about 900.4963632351.

The spelling of 730206828 in words is "seven hundred thirty million, two hundred six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1560271 3120542 4680813 6241084 9361626 14042439 18723252 20283523 28084878 40567046 56169756 60850569 81134092 121701138 182551707 243402276 365103414 730206828