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30398544 = 2433116397
BaseRepresentation
bin111001111110…
…1100001010000
32010012101222000
41303331201100
530240223134
63003314000
7516245331
oct163754120
963171860
1030398544
1116182970
12a21b900
1363b4507
144074288
152a06e99
hex1cfd850

30398544 has 80 divisors (see below), whose sum is σ = 95202240. Its totient is φ = 9210240.

The previous prime is 30398527. The next prime is 30398551. The reversal of 30398544 is 44589303.

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

It is a junction number, because it is equal to n+sod(n) for n = 30398499 and 30398508.

It is a congruent number.

It is an unprimeable number.

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, 1554 + ... + 7950.

It is an arithmetic number, because the mean of its divisors is an integer number (1190028).

Almost surely, 230398544 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 30398544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47601120).

30398544 is an abundant number, since it is smaller than the sum of its proper divisors (64803696).

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

30398544 is a wasteful number, since it uses less digits than its factorization.

30398544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6425 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 30398544 is about 5513.4874625776. The cubic root of 30398544 is about 312.0931674424.

The spelling of 30398544 in words is "thirty million, three hundred ninety-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 6397 12794 19191 25588 38382 51176 57573 70367 76764 102352 115146 140734 153528 172719 211101 230292 281468 307056 345438 422202 460584 562936 633303 690876 844404 921168 1125872 1266606 1381752 1688808 1899909 2533212 2763504 3377616 3799818 5066424 7599636 10132848 15199272 30398544