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30352320 = 263451171
BaseRepresentation
bin111001111001…
…0001111000000
32010010001120000
41303302033000
530232233240
63002320000
7515663505
oct163621700
963101500
1030352320
1116151169
12a1b9000
13639946b
1440614ac
1529e8430
hex1cf23c0

30352320 has 140 divisors (see below), whose sum is σ = 108060744. Its totient is φ = 8087040.

The previous prime is 30352277. The next prime is 30352337. The reversal of 30352320 is 2325303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30352293 and 30352302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25335 + ... + 26505.

Almost surely, 230352320 is an apocalyptic number.

30352320 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 30352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54030372).

30352320 is an abundant number, since it is smaller than the sum of its proper divisors (77708424).

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

30352320 is a wasteful number, since it uses less digits than its factorization.

30352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 30352320 is about 5509.2939656548. The cubic root of 30352320 is about 311.9348976592.

Adding to 30352320 its reverse (2325303), we get a palindrome (32677623).

The spelling of 30352320 in words is "thirty million, three hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1171 1296 1440 1620 1728 2160 2342 2592 2880 3240 3513 4320 4684 5184 5855 6480 7026 8640 9368 10539 11710 12960 14052 17565 18736 21078 23420 25920 28104 31617 35130 37472 42156 46840 52695 56208 63234 70260 74944 84312 93680 94851 105390 112416 126468 140520 158085 168624 187360 189702 210780 224832 252936 281040 316170 337248 374720 379404 421560 474255 505872 562080 632340 674496 758808 843120 948510 1011744 1124160 1264680 1517616 1686240 1897020 2023488 2529360 3035232 3372480 3794040 5058720 6070464 7588080 10117440 15176160 30352320