Search a number
-
+
30668448 = 2531013163
BaseRepresentation
bin111010011111…
…1011010100000
32010201010012110
41310333122200
530322342243
63013155320
7521451246
oct164773240
963633173
1030668448
1116347728
12a32bb40
13647a315
144104796
152a5be33
hex1d3f6a0

30668448 has 48 divisors (see below), whose sum is σ = 81327456. Its totient is φ = 10118400.

The previous prime is 30668437. The next prime is 30668467. The reversal of 30668448 is 84486603.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8115 + ... + 11277.

It is an arithmetic number, because the mean of its divisors is an integer number (1694322).

Almost surely, 230668448 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 30668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40663728).

30668448 is an abundant number, since it is smaller than the sum of its proper divisors (50659008).

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

30668448 is a wasteful number, since it uses less digits than its factorization.

30668448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 30668448 is about 5537.9100751096. The cubic root of 30668448 is about 313.0141228780.

The spelling of 30668448 in words is "thirty million, six hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3163 3232 4848 6326 9489 9696 12652 18978 25304 37956 50608 75912 101216 151824 303648 319463 638926 958389 1277852 1916778 2555704 3833556 5111408 7667112 10222816 15334224 30668448