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334805394 = 237113197241
BaseRepresentation
bin10011111101001…
…011100110010010
3212022222212122210
4103331023212102
51141202233034
653120012550
711203541010
oct2375134622
9768885583
10334805394
11161a97280
1294161156
1354496101
14326738b0
151e5d68e9
hex13f4b992

334805394 has 128 divisors (see below), whose sum is σ = 874266624. Its totient is φ = 82944000.

The previous prime is 334805369. The next prime is 334805407. The reversal of 334805394 is 493508433.

It is a super-2 number, since 2×3348053942 = 224189303702990472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1389114 + ... + 1389354.

It is an arithmetic number, because the mean of its divisors is an integer number (6830208).

Almost surely, 2334805394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334805394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437133312).

334805394 is an abundant number, since it is smaller than the sum of its proper divisors (539461230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

334805394 is a wasteful number, since it uses less digits than its factorization.

334805394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 334805394 is about 18297.6882146352. The cubic root of 334805394 is about 694.3804453979.

The spelling of 334805394 in words is "three hundred thirty-four million, eight hundred five thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 97 154 186 194 217 231 241 291 341 434 462 482 582 651 679 682 723 1023 1067 1302 1358 1446 1687 2037 2046 2134 2387 2651 3007 3201 3374 4074 4774 5061 5302 6014 6402 7161 7469 7471 7953 9021 10122 14322 14938 14942 15906 18042 18557 21049 22407 22413 23377 33077 37114 42098 44814 44826 46754 52297 55671 63147 66154 70131 82181 99231 104594 111342 126294 140262 156891 163639 164362 198462 231539 246543 257147 313782 327278 463078 490917 493086 514294 575267 694617 724687 771441 981834 1150534 1389234 1449374 1542882 1725801 1800029 2174061 3451602 3600058 4348122 5072809 5400087 7971557 10145618 10800174 15218427 15943114 23914671 30436854 47829342 55800899 111601798 167402697 334805394