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434070667341 = 33712272414139
BaseRepresentation
bin1100101000100001010…
…00001100000001001101
31112111102010112121012000
412110100220030001031
524102434042323331
6531224224502513
743234450536453
oct6242050140115
91474363477160
10434070667341
111580a7637013
127016147aa39
1331c1816832c
141701b0b89d3
15b457aa60e6
hex6510a0c04d

434070667341 has 64 divisors (see below), whose sum is σ = 657874483200. Its totient is φ = 282800851200.

The previous prime is 434070667333. The next prime is 434070667411. The reversal of 434070667341 is 143766070434.

It is not a de Polignac number, because 434070667341 - 23 = 434070667333 is a prime.

It is a super-2 number, since 2×4340706673412 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434070667141) 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 63 ways as a sum of consecutive naturals, for example, 104871250 + ... + 104875388.

It is an arithmetic number, because the mean of its divisors is an integer number (10279288800).

Almost surely, 2434070667341 is an apocalyptic number.

It is an amenable number.

434070667341 is a deficient number, since it is larger than the sum of its proper divisors (223803815859).

434070667341 is a wasteful number, since it uses less digits than its factorization.

434070667341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 434070667341 in words is "four hundred thirty-four billion, seventy million, six hundred sixty-seven thousand, three hundred forty-one".

Divisors: 1 3 9 27 71 213 227 241 639 681 723 1917 2043 2169 4139 6129 6507 12417 16117 17111 37251 48351 51333 54707 111753 145053 153999 164121 293869 435159 461997 492363 881607 939553 997499 1477089 2644821 2818659 2992497 3884197 7934463 8455977 8977491 11652591 25367931 26932473 34957773 66708263 70822429 104873319 200124789 212467287 226432273 600374367 637401861 679296819 1801123101 1912205583 2037890457 6113671371 16076691383 48230074149 144690222447 434070667341