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334254401 = 1334973673
BaseRepresentation
bin10011111011000…
…101000101000001
3212021221212211122
4103323011011001
51141032120101
653100122025
711166054425
oct2373050501
9767855748
10334254401
11161750308
1293b36315
1354332390
143256cb85
151e52851b
hex13ec5141

334254401 has 8 divisors (see below), whose sum is σ = 361002600. Its totient is φ = 307654272.

The previous prime is 334254383. The next prime is 334254407. The reversal of 334254401 is 104452433.

It can be written as a sum of positive squares in 4 ways, for example, as 92140801 + 242113600 = 9599^2 + 15560^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 334254401 - 214 = 334238017 is a prime.

It is a super-2 number, since 2×3342544012 = 223452009175737602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334254407) 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, 32300 + ... + 41373.

It is an arithmetic number, because the mean of its divisors is an integer number (45125325).

Almost surely, 2334254401 is an apocalyptic number.

It is an amenable number.

334254401 is a deficient number, since it is larger than the sum of its proper divisors (26748199).

334254401 is a wasteful number, since it uses less digits than its factorization.

334254401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74035.

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 334254401 is about 18282.6256593521. The cubic root of 334254401 is about 693.9993196792. Note that the first 3 decimals are identical.

The spelling of 334254401 in words is "three hundred thirty-four million, two hundred fifty-four thousand, four hundred one".

Divisors: 1 13 349 4537 73673 957749 25711877 334254401