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30232320 = 28357873
BaseRepresentation
bin111001101010…
…0111100000000
32002212221221120
41303110330000
530214413240
62555552240
7514653606
oct163247400
962787846
1030232320
1116079a98
12a15b680
136356961
14402d876
1529c2ad0
hex1cd4f00

30232320 has 72 divisors (see below), whose sum is σ = 96566736. Its totient is φ = 8060928.

The previous prime is 30232303. The next prime is 30232337. The reversal of 30232320 is 2323203.

It is an interprime number because it is at equal distance from previous prime (30232303) and next prime (30232337).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30232320.

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, 97 + ... + 7776.

Almost surely, 230232320 is an apocalyptic number.

30232320 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 30232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48283368).

30232320 is an abundant number, since it is smaller than the sum of its proper divisors (66334416).

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

30232320 is an equidigital number, since it uses as much as digits as its factorization.

30232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7897 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 30232320 is about 5498.3924923563. The cubic root of 30232320 is about 311.5232693048.

Adding to 30232320 its reverse (2323203), we get a palindrome (32555523).

It can be divided in two parts, 30 and 232320, that multiplied together give a square (6969600 = 26402).

The spelling of 30232320 in words is "thirty million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 7873 15746 23619 31492 39365 47238 62984 78730 94476 118095 125968 157460 188952 236190 251936 314920 377904 472380 503872 629840 755808 944760 1007744 1259680 1511616 1889520 2015488 2519360 3023232 3779040 5038720 6046464 7558080 10077440 15116160 30232320