Search a number
-
+
30942912 = 26372111323
BaseRepresentation
bin111011000001…
…0011011000000
32011020001200210
41312002123000
530410133122
63023114120
7524003400
oct166023300
964201623
1030942912
1116514960
12a442940
136545220
144176800
152ab340c
hex1d826c0

30942912 has 336 divisors, whose sum is σ = 116750592. Its totient is φ = 7096320.

The previous prime is 30942911. The next prime is 30942917. The reversal of 30942912 is 21924903.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 30942912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30942911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345333 + ... + 1345355.

It is an arithmetic number, because the mean of its divisors is an integer number (347472).

Almost surely, 230942912 is an apocalyptic number.

30942912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58375296).

30942912 is an abundant number, since it is smaller than the sum of its proper divisors (85807680).

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

30942912 is a wasteful number, since it uses less digits than its factorization.

30942912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 30942912 is about 5562.6353466680. The cubic root of 30942912 is about 313.9451132647.

Subtracting from 30942912 its reverse (21924903), we obtain a square (9018009 = 30032).

It can be divided in two parts, 3094 and 2912, that added together give a palindrome (6006).

The spelling of 30942912 in words is "thirty million, nine hundred forty-two thousand, nine hundred twelve".