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30197440 = 2657131761
BaseRepresentation
bin111001100110…
…0011011000000
32002211012002201
41303030123000
530212304230
62555122544
7514450120
oct163143300
962735081
1030197440
1116055869
12a143454
136343b10
144020c80
1529b75ca
hex1ccc6c0

30197440 has 224 divisors, whose sum is σ = 95243904. Its totient is φ = 8847360.

The previous prime is 30197429. The next prime is 30197467. The reversal of 30197440 is 4479103.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 30197399 and 30197408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495010 + ... + 495070.

It is an arithmetic number, because the mean of its divisors is an integer number (425196).

Almost surely, 230197440 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 30197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621952).

30197440 is an abundant number, since it is smaller than the sum of its proper divisors (65046464).

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

30197440 is a wasteful number, since it uses less digits than its factorization.

30197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 30197440 is about 5495.2197408293. The cubic root of 30197440 is about 311.4034183957.

The spelling of 30197440 in words is "thirty million, one hundred ninety-seven thousand, four hundred forty".