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334853401 = 2926312
BaseRepresentation
bin10011111101010…
…111010100011001
3212100002022111211
4103331113110121
51141210302101
653121023121
711204130661
oct2375272431
9770068454
10334853401
1116201a353
1294184aa1
13544b1c0c
14326871a1
151e5e5c51
hex13f57519

334853401 has 9 divisors (see below), whose sum is σ = 347348703. Its totient is φ = 322794360.

The previous prime is 334853383. The next prime is 334853419. The reversal of 334853401 is 104358433.

The square root of 334853401 is 18299.

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

It is an interprime number because it is at equal distance from previous prime (334853383) and next prime (334853419).

It can be written as a sum of positive squares in only one way, i.e., 175589001 + 159264400 = 13251^2 + 12620^2 .

It is not a de Polignac number, because 334853401 - 211 = 334851353 is a prime.

It is a super-2 number, since 2×3348534012 = 224253600322533602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334853501) 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 8 ways as a sum of consecutive naturals, for example, 530356 + ... + 530986.

Almost surely, 2334853401 is an apocalyptic number.

334853401 is the 18299-th square number.

334853401 is the 9150-th centered octagonal number.

It is an amenable number.

334853401 is a deficient number, since it is larger than the sum of its proper divisors (12495302).

334853401 is an frugal number, since it uses more digits than its factorization.

334853401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The cubic root of 334853401 is about 694.4136323671.

The spelling of 334853401 in words is "three hundred thirty-four million, eight hundred fifty-three thousand, four hundred one".

Divisors: 1 29 631 841 18299 398161 530671 11546669 334853401