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1334434101 = 3721121329199
BaseRepresentation
bin100111110001001…
…1101100100110101
310102222222021110020
41033202131210311
510213103342401
6340225315353
745032334300
oct11742354465
93388867406
101334434101
11625287100
12312a95b59
131836032a0
14c9325b37
157c242d36
hex4f89d935

1334434101 has 144 divisors (see below), whose sum is σ = 2547216000. Its totient is φ = 614718720.

The previous prime is 1334434097. The next prime is 1334434117. The reversal of 1334434101 is 1014344331.

It is not a de Polignac number, because 1334434101 - 22 = 1334434097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334434121) 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 143 ways as a sum of consecutive naturals, for example, 6705600 + ... + 6705798.

It is an arithmetic number, because the mean of its divisors is an integer number (17689000).

Almost surely, 21334434101 is an apocalyptic number.

1334434101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1334434101 is a deficient number, since it is larger than the sum of its proper divisors (1212781899).

1334434101 is a wasteful number, since it uses less digits than its factorization.

1334434101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1334434101 is about 36529.9069393832. The cubic root of 1334434101 is about 1100.9452208802.

Adding to 1334434101 its reverse (1014344331), we get a palindrome (2348778432).

The spelling of 1334434101 in words is "one billion, three hundred thirty-four million, four hundred thirty-four thousand, one hundred one".

Divisors: 1 3 7 11 13 21 29 33 39 49 77 87 91 121 143 147 199 203 231 273 319 363 377 429 539 597 609 637 847 957 1001 1131 1393 1421 1573 1617 1911 2189 2233 2541 2587 2639 3003 3509 4147 4179 4263 4719 5771 5929 6567 6699 7007 7761 7917 9751 10527 11011 12441 15323 15631 17313 17787 18109 18473 21021 24079 24563 28457 29029 29253 33033 40397 45617 45969 46893 54327 55419 63481 72237 73689 75023 77077 85371 87087 107261 121191 126763 136851 168553 171941 190443 199199 203203 225069 231231 282779 313027 319319 321783 380289 444367 505659 515823 525161 597597 609609 698291 825253 848337 939081 957957 1179871 1333101 1394393 1575483 2094873 2191189 2235233 2475759 3110569 3539613 3676127 4183179 4888037 5776771 6573567 6705699 9077783 9331707 11028381 14664111 15338323 17330313 27233349 34216259 40437397 46014969 63544481 102648777 121312191 190633443 444811367 1334434101