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30239360 = 275371277
BaseRepresentation
bin111001101011…
…0101010000000
32002220022121022
41303112222000
530220124420
63000045012
7515013254
oct163265200
962808538
1030239360
1116084308
12a163768
136359c18
144032264
1529c4c25
hex1cd6a80

30239360 has 64 divisors (see below), whose sum is σ = 74302920. Its totient is φ = 11759616.

The previous prime is 30239359. The next prime is 30239381. The reversal of 30239360 is 6393203.

It can be written as a sum of positive squares in 4 ways, for example, as 29506624 + 732736 = 5432^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23042 + ... + 24318.

Almost surely, 230239360 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 30239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37151460).

30239360 is an abundant number, since it is smaller than the sum of its proper divisors (44063560).

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

30239360 is a wasteful number, since it uses less digits than its factorization.

30239360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 30239360 is about 5499.0326422017. The cubic root of 30239360 is about 311.5474482145.

The spelling of 30239360 in words is "thirty million, two hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1277 1480 2368 2554 2960 4736 5108 5920 6385 10216 11840 12770 20432 23680 25540 40864 47249 51080 81728 94498 102160 163456 188996 204320 236245 377992 408640 472490 755984 817280 944980 1511968 1889960 3023936 3779920 6047872 7559840 15119680 30239360