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30384312 = 233733691
BaseRepresentation
bin111001111101…
…0000010111000
32010011200102220
41303322002320
530234244222
63003124040
7516156000
oct163720270
963150386
1030384312
1116173202
12a213620
1363aabaa
14406d000
152a02b5c
hex1cfa0b8

30384312 has 64 divisors (see below), whose sum is σ = 88608000. Its totient is φ = 8678880.

The previous prime is 30384301. The next prime is 30384313. The reversal of 30384312 is 21348303.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30384313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6387 + ... + 10077.

It is an arithmetic number, because the mean of its divisors is an integer number (1384500).

Almost surely, 230384312 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 30384312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44304000).

30384312 is an abundant number, since it is smaller than the sum of its proper divisors (58223688).

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

30384312 is a wasteful number, since it uses less digits than its factorization.

30384312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30384312 is about 5512.1966583205. The cubic root of 30384312 is about 312.0444545467.

The spelling of 30384312 in words is "thirty million, three hundred eighty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 3691 4116 7382 8232 11073 14764 22146 25837 29528 44292 51674 77511 88584 103348 155022 180859 206696 310044 361718 542577 620088 723436 1085154 1266013 1446872 2170308 2532026 3798039 4340616 5064052 7596078 10128104 15192156 30384312