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39303930 = 23573131137
BaseRepresentation
bin1001010111101…
…1101011111010
32201221211212010
42111323223322
540030211210
63522230350
7655035501
oct225735372
981854763
1039303930
1120205696
12111b53b6
1381b1a83
145311838
1536b5920
hex257bafa

39303930 has 64 divisors (see below), whose sum is σ = 97054848. Its totient is φ = 10183680.

The previous prime is 39303919. The next prime is 39303931. The reversal of 39303930 is 3930393.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (39303931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286822 + ... + 286958.

It is an arithmetic number, because the mean of its divisors is an integer number (1516482).

Almost surely, 239303930 is an apocalyptic number.

39303930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39303930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48527424).

39303930 is an abundant number, since it is smaller than the sum of its proper divisors (57750918).

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

39303930 is a wasteful number, since it uses less digits than its factorization.

39303930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 6561, while the sum is 30.

The square root of 39303930 is about 6269.2846481875. The cubic root of 39303930 is about 339.9997981544. Note that the first 3 decimals are identical.

39303930 divided by its sum of digits (30) gives a palindrome (1310131).

The spelling of 39303930 in words is "thirty-nine million, three hundred three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 131 137 146 219 262 274 365 393 411 438 655 685 730 786 822 1095 1310 1370 1965 2055 2190 3930 4110 9563 10001 17947 19126 20002 28689 30003 35894 47815 50005 53841 57378 60006 89735 95630 100010 107682 143445 150015 179470 269205 286890 300030 538410 1310131 2620262 3930393 6550655 7860786 13101310 19651965 39303930