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30320352 = 2533191847
BaseRepresentation
bin111001110101…
…0011011100000
32010001102201000
41303222123200
530230222402
63001512000
7515501346
oct163523340
963042630
1030320352
111612a147
12a1a2600
136387a4a
144053996
1529ddc1c
hex1cea6e0

30320352 has 96 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 9569664.

The previous prime is 30320317. The next prime is 30320359. The reversal of 30320352 is 25302303.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30320359) by changing a digit.

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, 15493 + ... + 17339.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 230320352 is an apocalyptic number.

30320352 is a gapful number since it is divisible by the number (32) 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 30320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

30320352 is an abundant number, since it is smaller than the sum of its proper divisors (62818848).

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

30320352 is a wasteful number, since it uses less digits than its factorization.

30320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1871 counting only the distinct ones).

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

The square root of 30320352 is about 5506.3919221211. The cubic root of 30320352 is about 311.8253460360.

Adding to 30320352 its reverse (25302303), we get a palindrome (55622655).

The spelling of 30320352 in words is "thirty million, three hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 1847 2052 2736 3694 4104 5472 5541 7388 8208 11082 14776 16416 16623 22164 29552 33246 35093 44328 49869 59104 66492 70186 88656 99738 105279 132984 140372 177312 199476 210558 265968 280744 315837 398952 421116 531936 561488 631674 797904 842232 947511 1122976 1263348 1595808 1684464 1895022 2526696 3368928 3790044 5053392 7580088 10106784 15160176 30320352