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30544920 = 233257172331
BaseRepresentation
bin111010010000…
…1010000011000
32010110211202100
41310201100120
530304414140
63010403400
7520425150
oct164412030
963424670
1030544920
111627293a
12a290560
136436023
1440b1760
152a35530
hex1d21418

30544920 has 384 divisors, whose sum is σ = 129392640. Its totient is φ = 6082560.

The previous prime is 30544909. The next prime is 30544931. The reversal of 30544920 is 2944503.

30544920 is a `hidden beast` number, since 30 + 544 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30544909) and next prime (30544931).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 985305 + ... + 985335.

It is an arithmetic number, because the mean of its divisors is an integer number (336960).

Almost surely, 230544920 is an apocalyptic number.

30544920 is a gapful number since it is divisible by the number (30) 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 30544920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

30544920 is an abundant number, since it is smaller than the sum of its proper divisors (98847720).

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

30544920 is a wasteful number, since it uses less digits than its factorization.

30544920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30544920 is about 5526.7458780009. The cubic root of 30544920 is about 312.5932990755.

The spelling of 30544920 in words is "thirty million, five hundred forty-four thousand, nine hundred twenty".