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334194961 = 10121812
BaseRepresentation
bin10011111010110…
…110100100010001
3212021211212022011
4103322312210101
51141023214321
653054542521
711165416222
oct2372664421
9767755264
10334194961
1116170a691
1293b07a41
13543112c9
1432555249
151e515ae1
hex13eb6911

334194961 has 9 divisors (see below), whose sum is σ = 339411729. Its totient is φ = 329058000.

The previous prime is 334194943. The next prime is 334194967. The reversal of 334194961 is 169491433.

The square root of 334194961 is 18281.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2954961 + 331240000 = 1719^2 + 18200^2 .

It is not a de Polignac number, because 334194961 - 211 = 334192913 is a prime.

It is a super-2 number, since 2×3341949612 = 223372543915583042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334194967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1846291 + ... + 1846471.

Almost surely, 2334194961 is an apocalyptic number.

334194961 is the 18281-st square number.

334194961 is the 9141-st centered octagonal number.

It is an amenable number.

334194961 is a deficient number, since it is larger than the sum of its proper divisors (5216768).

334194961 is an frugal number, since it uses more digits than its factorization.

334194961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The cubic root of 334194961 is about 693.9581795926.

The spelling of 334194961 in words is "three hundred thirty-four million, one hundred ninety-four thousand, nine hundred sixty-one".

Divisors: 1 101 181 10201 18281 32761 1846381 3308861 334194961