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30328320 = 293511359
BaseRepresentation
bin111001110110…
…0011000000000
32010001211122010
41303230120000
530231001240
63002012520
7515533521
oct163543000
963054563
1030328320
1116135130
12a1a7140
13638b569
144056848
1529e1280
hex1cec600

30328320 has 160 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 7331840.

The previous prime is 30328307. The next prime is 30328321. The reversal of 30328320 is 2382303.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30328321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84301 + ... + 84659.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 230328320 is an apocalyptic number.

30328320 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 30328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

30328320 is an abundant number, since it is smaller than the sum of its proper divisors (75736320).

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

30328320 is a wasteful number, since it uses less digits than its factorization.

30328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 30328320 is about 5507.1153973746. The cubic root of 30328320 is about 311.8526588977.

It can be divided in two parts, 303283 and 20, that added together give a palindrome (303303).

The spelling of 30328320 in words is "thirty million, three hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 359 384 440 480 512 528 640 660 704 718 768 880 960 1056 1077 1280 1320 1408 1436 1536 1760 1795 1920 2112 2154 2560 2640 2816 2872 3520 3590 3840 3949 4224 4308 5280 5385 5632 5744 7040 7180 7680 7898 8448 8616 10560 10770 11488 11847 14080 14360 15796 16896 17232 19745 21120 21540 22976 23694 28160 28720 31592 34464 39490 42240 43080 45952 47388 57440 59235 63184 68928 78980 84480 86160 91904 94776 114880 118470 126368 137856 157960 172320 183808 189552 229760 236940 252736 275712 315920 344640 379104 459520 473880 505472 551424 631840 689280 758208 919040 947760 1010944 1263680 1378560 1516416 1895520 2021888 2527360 2757120 3032832 3791040 5054720 6065664 7582080 10109440 15164160 30328320