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330314420 = 22517971513
BaseRepresentation
bin10011101100000…
…011001010110100
3212000112201012102
4103230003022310
51134030030140
652435441232
711120424542
oct2354031264
9760481172
10330314420
1115a4aa127
1292756218
1353582c27
1431c24d92
151deeae15
hex13b032b4

330314420 has 24 divisors (see below), whose sum is σ = 734464584. Its totient is φ = 124353536.

The previous prime is 330314417. The next prime is 330314423. The reversal of 330314420 is 24413033.

330314420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (330314417) and next prime (330314423).

It can be written as a sum of positive squares in 4 ways, for example, as 42876304 + 287438116 = 6548^2 + 16954^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 330314392 and 330314401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330314423) 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 7 ways as a sum of consecutive naturals, for example, 485417 + ... + 486096.

It is an arithmetic number, because the mean of its divisors is an integer number (30602691).

Almost surely, 2330314420 is an apocalyptic number.

It is an amenable number.

330314420 is an abundant number, since it is smaller than the sum of its proper divisors (404150164).

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

330314420 is a wasteful number, since it uses less digits than its factorization.

330314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971539 (or 971537 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 330314420 is about 18174.5541898557. The cubic root of 330314420 is about 691.2617255842.

Adding to 330314420 its reverse (24413033), we get a palindrome (354727453).

The spelling of 330314420 in words is "three hundred thirty million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 971513 1943026 3886052 4857565 9715130 16515721 19430260 33031442 66062884 82578605 165157210 330314420