Search a number
-
+
334294425124 = 221124126412
BaseRepresentation
bin1001101110101011000…
…00000001111000100100
31011221212112221022220121
410313111200001320210
520434113333100444
6413323413411324
733103061505142
oct4672540017044
91157775838817
10334294425124
11119856540500
1254956639b44
13256a6b1085a
1412273a62592
158a6831a084
hex4dd5801e24

334294425124 has 81 divisors (see below), whose sum is σ = 660129394099. Its totient is φ = 148014592000.

The previous prime is 334294425071. The next prime is 334294425139. The reversal of 334294425124 is 421524492433.

The square root of 334294425124 is 578182.

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 3071154724 + 331223270400 = 55418^2 + 575520^2 .

It is a super-2 number, since 2×3342944251242 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 521519844 + ... + 521520484.

Almost surely, 2334294425124 is an apocalyptic number.

334294425124 is the 578182-nd square number.

It is an amenable number.

334294425124 is a deficient number, since it is larger than the sum of its proper divisors (325834968975).

334294425124 is an equidigital number, since it uses as much as digits as its factorization.

334294425124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 695 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The spelling of 334294425124 in words is "three hundred thirty-four billion, two hundred ninety-four million, four hundred twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 41 44 82 121 164 242 451 484 641 902 1282 1681 1804 2564 3362 4961 6724 7051 9922 14102 18491 19844 26281 28204 36982 52562 73964 77561 105124 155122 203401 289091 310244 406802 410881 578182 813604 821762 1077521 1156364 1643524 2155042 3180001 4310084 4519691 6360002 9039382 11852731 12720004 16846121 18078764 23705462 33692242 47410924 49716601 67384484 99433202 130380041 185307331 198866404 260760082 370614662 521520164 690690961 741229324 1381381922 2038380641 2762763844 4076761282 7597600571 8153522564 15195201142 30390402284 83573606281 167147212562 334294425124