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330320029 = 1389285497
BaseRepresentation
bin10011101100000…
…100100010011101
3212000112222220011
4103230010202131
51134030220104
652435523221
711120450104
oct2354044235
9760488804
10330320029
1115a503366
1292759511
1353585650
1431c2703b
151deec904
hex13b0489d

330320029 has 8 divisors (see below), whose sum is σ = 359727480. Its totient is φ = 301483776.

The previous prime is 330319999. The next prime is 330320033. The reversal of 330320029 is 920023033.

It can be written as a sum of positive squares in 4 ways, for example, as 1876900 + 328443129 = 1370^2 + 18123^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330320029 is a prime.

It is a super-2 number, since 2×3303200292 = 218222643117121682, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330319991 and 330320009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330320129) 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, 141592 + ... + 143905.

It is an arithmetic number, because the mean of its divisors is an integer number (44965935).

Almost surely, 2330320029 is an apocalyptic number.

It is an amenable number.

330320029 is a deficient number, since it is larger than the sum of its proper divisors (29407451).

330320029 is a wasteful number, since it uses less digits than its factorization.

330320029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285599.

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 330320029 is about 18174.7084983501. The cubic root of 330320029 is about 691.2656382856.

It can be divided in two parts, 3303 and 20029, that added together give a palindrome (23332).

The spelling of 330320029 in words is "three hundred thirty million, three hundred twenty thousand, twenty-nine".

Divisors: 1 13 89 1157 285497 3711461 25409233 330320029