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30203008 = 2711191129
BaseRepresentation
bin111001100110…
…1110010000000
32002211110201221
41303031302000
530212444013
62555204424
7514502263
oct163156200
962743657
1030203008
1116059a70
12a146714
136346504
144022cda
1529b908d
hex1ccdc80

30203008 has 64 divisors (see below), whose sum is σ = 69156000. Its totient is φ = 12994560.

The previous prime is 30202981. The next prime is 30203009. The reversal of 30203008 is 80030203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30202982 and 30203000.

It is not an unprimeable number, because it can be changed into a prime (30203009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26188 + ... + 27316.

Almost surely, 230203008 is an apocalyptic number.

30203008 is a gapful number since it is divisible by the number (38) 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 30203008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34578000).

30203008 is an abundant number, since it is smaller than the sum of its proper divisors (38952992).

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

30203008 is a wasteful number, since it uses less digits than its factorization.

30203008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 30203008 is about 5495.7263396206. The cubic root of 30203008 is about 311.4225567473.

The spelling of 30203008 in words is "thirty million, two hundred three thousand, eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1129 1216 1408 1672 2258 2432 3344 4516 6688 9032 12419 13376 18064 21451 24838 26752 36128 42902 49676 72256 85804 99352 144512 171608 198704 235961 343216 397408 471922 686432 794816 943844 1372864 1589632 1887688 2745728 3775376 7550752 15101504 30203008