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30208932 = 223213173797
BaseRepresentation
bin111001100111…
…1001110100100
32002211202212100
41303033032210
530213141212
62555252100
7514525455
oct163171644
962752770
1030208932
1116063466
12a14a030
136349110
14402512c
1529babdc
hex1ccf3a4

30208932 has 72 divisors (see below), whose sum is σ = 87095736. Its totient is φ = 8745984.

The previous prime is 30208931. The next prime is 30208963. The reversal of 30208932 is 23980203.

It can be written as a sum of positive squares in 4 ways, for example, as 2916 + 30206016 = 54^2 + 5496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30208896 and 30208905.

It is not an unprimeable number, because it can be changed into a prime (30208931) 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, 6058 + ... + 9854.

It is an arithmetic number, because the mean of its divisors is an integer number (1209663).

Almost surely, 230208932 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 30208932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43547868).

30208932 is an abundant number, since it is smaller than the sum of its proper divisors (56886804).

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

30208932 is a wasteful number, since it uses less digits than its factorization.

30208932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30208932 is about 5496.2652774407. The cubic root of 30208932 is about 311.4429161612.

The spelling of 30208932 in words is "thirty million, two hundred eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3797 3978 7594 7956 11391 15188 22782 34173 45564 49361 64549 68346 98722 129098 136692 148083 193647 197444 258196 296166 387294 444249 580941 592332 774588 839137 888498 1161882 1678274 1776996 2323764 2517411 3356548 5034822 7552233 10069644 15104466 30208932