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334003121 = 2961349541
BaseRepresentation
bin10011111010000…
…111101110110001
3212021111010010222
4103322013232301
51141001044441
653050502425
711163660014
oct2372075661
9767433128
10334003121
11161599541
1293a34a15
1354274baa
143250537b
151e4c8d4b
hex13e87bb1

334003121 has 16 divisors (see below), whose sum is σ = 352842000. Its totient is φ = 315705600.

The previous prime is 334003069. The next prime is 334003129. The reversal of 334003121 is 121300433.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15880225 + 318122896 = 3985^2 + 17836^2 .

It is not a de Polignac number, because 334003121 - 26 = 334003057 is a prime.

It is a super-2 number, since 2×3340031212 = 223116169675481282, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 334003121.

It is not an unprimeable number, because it can be changed into a prime (334003129) 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 15 ways as a sum of consecutive naturals, for example, 617111 + ... + 617651.

It is an arithmetic number, because the mean of its divisors is an integer number (22052625).

Almost surely, 2334003121 is an apocalyptic number.

It is an amenable number.

334003121 is a deficient number, since it is larger than the sum of its proper divisors (18838879).

334003121 is a wasteful number, since it uses less digits than its factorization.

334003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 334003121 is about 18275.7522690586. The cubic root of 334003121 is about 693.8253684749.

Adding to 334003121 its reverse (121300433), we get a palindrome (455303554).

The spelling of 334003121 in words is "three hundred thirty-four million, three thousand, one hundred twenty-one".

Divisors: 1 29 61 349 541 1769 10121 15689 21289 33001 188809 617381 957029 5475461 11517349 334003121