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30209088 = 2637213219
BaseRepresentation
bin111001100111…
…1010001000000
32002211210002010
41303033101000
530213142323
62555252520
7514526100
oct163172100
962753063
1030209088
1116063598
12a14a140
136349200
144025200
1529bac93
hex1ccf440

30209088 has 252 divisors, whose sum is σ = 105978960. Its totient is φ = 7547904.

The previous prime is 30209083. The next prime is 30209089. The reversal of 30209088 is 88090203.

It is not an unprimeable number, because it can be changed into a prime (30209083) 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 35 ways as a sum of consecutive naturals, for example, 1589943 + ... + 1589961.

Almost surely, 230209088 is an apocalyptic number.

30209088 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 30209088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52989480).

30209088 is an abundant number, since it is smaller than the sum of its proper divisors (75769872).

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

30209088 is a wasteful number, since it uses less digits than its factorization.

30209088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 30209088 is about 5496.2794688771. The cubic root of 30209088 is about 311.4434522611.

The spelling of 30209088 in words is "thirty million, two hundred nine thousand, eighty-eight".