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30449376 = 2532105727
BaseRepresentation
bin111010000100…
…1111011100000
32010021222200200
41310021323200
530243340001
63004345200
7516546456
oct164117340
963258620
1030449376
1116208081
12a245200
1364016a9
1440889d6
152a17086
hex1d09ee0

30449376 has 36 divisors (see below), whose sum is σ = 86591232. Its totient is φ = 10149696.

The previous prime is 30449359. The next prime is 30449383. The reversal of 30449376 is 67394403.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30449376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52576 + ... + 53151.

It is an arithmetic number, because the mean of its divisors is an integer number (2405312).

Almost surely, 230449376 is an apocalyptic number.

30449376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30449376 is an abundant number, since it is smaller than the sum of its proper divisors (56141856).

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

30449376 is a wasteful number, since it uses less digits than its factorization.

30449376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105743 (or 105732 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 30449376 is about 5518.0953235695. The cubic root of 30449376 is about 312.2670297761.

The spelling of 30449376 in words is "thirty million, four hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 105727 211454 317181 422908 634362 845816 951543 1268724 1691632 1903086 2537448 3383264 3806172 5074896 7612344 10149792 15224688 30449376