Search a number
-
+
30367968 = 2531372309
BaseRepresentation
bin111001111011…
…0000011100000
32010010212000120
41303312003200
530233233333
63002520240
7516060231
oct163660340
963125016
1030367968
11161619a4
12a206080
1363a3617
144067088
1529ecdb3
hex1cf60e0

30367968 has 48 divisors (see below), whose sum is σ = 80332560. Its totient is φ = 10044416.

The previous prime is 30367913. The next prime is 30368011. The reversal of 30367968 is 86976303.

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

It is a super-3 number, since 3×303679683 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

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, 11998 + ... + 14306.

It is an arithmetic number, because the mean of its divisors is an integer number (1673595).

Almost surely, 230367968 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 30367968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40166280).

30367968 is an abundant number, since it is smaller than the sum of its proper divisors (49964592).

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

30367968 is a wasteful number, since it uses less digits than its factorization.

30367968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 30367968 is about 5510.7139283400. The cubic root of 30367968 is about 311.9884939873.

The spelling of 30367968 in words is "thirty million, three hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 2309 3288 4384 4618 6576 6927 9236 13152 13854 18472 27708 36944 55416 73888 110832 221664 316333 632666 948999 1265332 1897998 2530664 3795996 5061328 7591992 10122656 15183984 30367968