Search a number
-
+
30684420 = 22345133147
BaseRepresentation
bin111010100001…
…1010100000100
32010201221010000
41311003110010
530323400140
63013401300
7521545644
oct165032404
963657100
1030684420
1116358728
12a339230
136484680
14410a524
152a61a30
hex1d43504

30684420 has 240 divisors, whose sum is σ = 109283328. Its totient is φ = 7153920.

The previous prime is 30684419. The next prime is 30684427. The reversal of 30684420 is 2448603.

30684420 = T389 + T390 + ... + T623.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30684427) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 652837 + ... + 652883.

Almost surely, 230684420 is an apocalyptic number.

30684420 is a gapful number since it is divisible by the number (30) 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 30684420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54641664).

30684420 is an abundant number, since it is smaller than the sum of its proper divisors (78598908).

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

30684420 is a wasteful number, since it uses less digits than its factorization.

30684420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30684420 is about 5539.3519476560. The cubic root of 30684420 is about 313.0684522648.

The spelling of 30684420 in words is "thirty million, six hundred eighty-four thousand, four hundred twenty".