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30352000 = 27537271
BaseRepresentation
bin111001111001…
…0001010000000
32010010001010011
41303302022000
530232231000
63002314304
7515662540
oct163621200
963101104
1030352000
11161509a8
12a1b8994
136399283
144061320
1529e82ba
hex1cf2280

30352000 has 128 divisors (see below), whose sum is σ = 86561280. Its totient is φ = 10368000.

The previous prime is 30351977. The next prime is 30352039. The reversal of 30352000 is 25303.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111865 + ... + 112135.

It is an arithmetic number, because the mean of its divisors is an integer number (676260).

Almost surely, 230352000 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 30352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43280640).

30352000 is an abundant number, since it is smaller than the sum of its proper divisors (56209280).

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

30352000 is an equidigital number, since it uses as much as digits as its factorization.

30352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 30352000 is about 5509.2649237444. The cubic root of 30352000 is about 311.9338014276.

Adding to 30352000 its reverse (25303), we get a palindrome (30377303).

The spelling of 30352000 in words is "thirty million, three hundred fifty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 271 280 320 350 400 448 500 542 560 640 700 800 875 896 1000 1084 1120 1355 1400 1600 1750 1897 2000 2168 2240 2710 2800 3200 3500 3794 4000 4336 4480 5420 5600 6775 7000 7588 8000 8672 9485 10840 11200 13550 14000 15176 16000 17344 18970 21680 22400 27100 28000 30352 33875 34688 37940 43360 47425 54200 56000 60704 67750 75880 86720 94850 108400 112000 121408 135500 151760 173440 189700 216800 237125 242816 271000 303520 379400 433600 474250 542000 607040 758800 867200 948500 1084000 1214080 1517600 1897000 2168000 3035200 3794000 4336000 6070400 7588000 15176000 30352000