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30311424 = 21032111323
BaseRepresentation
bin111001110100…
…0010000000000
32010000222110100
41303220100000
530224431144
63001402400
7515433333
oct163502000
963028410
1030311424
1116123470
12a199400
136383970
14405061a
1529db269
hex1ce8400

30311424 has 264 divisors, whose sum is σ = 107295552. Its totient is φ = 8110080.

The previous prime is 30311419. The next prime is 30311429. The reversal of 30311424 is 42411303.

It is an interprime number because it is at equal distance from previous prime (30311419) and next prime (30311429).

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30311397 and 30311406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30311429) 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, 1317877 + ... + 1317899.

Almost surely, 230311424 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 30311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53647776).

30311424 is an abundant number, since it is smaller than the sum of its proper divisors (76984128).

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

30311424 is a wasteful number, since it uses less digits than its factorization.

30311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30311424 is about 5505.5811682328. The cubic root of 30311424 is about 311.7947367829.

Adding to 30311424 its reverse (42411303), we get a palindrome (72722727).

The spelling of 30311424 in words is "thirty million, three hundred eleven thousand, four hundred twenty-four".