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30349248 = 263315099
BaseRepresentation
bin111001111000…
…1011111000000
32010002220100020
41303301133000
530232133443
63002253440
7515651526
oct163613700
963086306
1030349248
1116149926
12a1b7280
136397c47
144060316
1529e7583
hex1cf17c0

30349248 has 56 divisors (see below), whose sum is σ = 82905600. Its totient is φ = 9788160.

The previous prime is 30349243. The next prime is 30349261. The reversal of 30349248 is 84294303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30349243) 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 7 ways as a sum of consecutive naturals, for example, 3403 + ... + 8501.

Almost surely, 230349248 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 30349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41452800).

30349248 is an abundant number, since it is smaller than the sum of its proper divisors (52556352).

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

30349248 is a wasteful number, since it uses less digits than its factorization.

30349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 30349248 is about 5509.0151569949. The cubic root of 30349248 is about 311.9243735177.

The spelling of 30349248 in words is "thirty million, three hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5099 5952 10198 15297 20396 30594 40792 61188 81584 122376 158069 163168 244752 316138 326336 474207 489504 632276 948414 979008 1264552 1896828 2529104 3793656 5058208 7587312 10116416 15174624 30349248