Search a number
-
+
730014936 = 233721514111
BaseRepresentation
bin101011100000110…
…010010011011000
31212212122121020020
4223200302103120
52443340434221
6200234430440
724043011300
oct5340622330
91785577206
10730014936
11345090032
12184592420
13b831b101
146cd4c600
1544150ac6
hex2b8324d8

730014936 has 96 divisors (see below), whose sum is σ = 2137582080. Its totient is φ = 207144000.

The previous prime is 730014931. The next prime is 730014937. The reversal of 730014936 is 639410037.

It is a junction number, because it is equal to n+sod(n) for n = 730014897 and 730014906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730014931) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 175521 + ... + 179631.

It is an arithmetic number, because the mean of its divisors is an integer number (22266480).

Almost surely, 2730014936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730014936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068791040).

730014936 is an abundant number, since it is smaller than the sum of its proper divisors (1407567144).

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

730014936 is a wasteful number, since it uses less digits than its factorization.

730014936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 730014936 is about 27018.7885738795. The cubic root of 730014936 is about 900.4174754550.

The spelling of 730014936 in words is "seven hundred thirty million, fourteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 151 168 196 294 302 392 453 588 604 906 1057 1176 1208 1812 2114 3171 3624 4111 4228 6342 7399 8222 8456 12333 12684 14798 16444 22197 24666 25368 28777 29596 32888 44394 49332 57554 59192 86331 88788 98664 115108 172662 177576 201439 230216 345324 402878 604317 620761 690648 805756 1208634 1241522 1611512 1862283 2417268 2483044 3724566 4345327 4834536 4966088 7449132 8690654 13035981 14898264 17381308 26071962 30417289 34762616 52143924 60834578 91251867 104287848 121669156 182503734 243338312 365007468 730014936