Search a number
-
+
3434359149 = 3313233113723
BaseRepresentation
bin1100110010110100…
…0010100101101101
322212100100112002000
43030231002211231
524013143443044
61324442122513
7151051366614
oct31455024555
98770315060
103434359149
111502673951
127ba1b0439
13429695ca0
1424819287b
15151792d69
hexccb4296d

3434359149 has 64 divisors (see below), whose sum is σ = 5902417920. Its totient is φ = 1956208320.

The previous prime is 3434359147. The next prime is 3434359157. The reversal of 3434359149 is 9419534343.

It is a happy number.

3434359149 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3434359149 - 21 = 3434359147 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434359147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243402 + ... + 257124.

It is an arithmetic number, because the mean of its divisors is an integer number (92225280).

Almost surely, 23434359149 is an apocalyptic number.

3434359149 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3434359149 is a deficient number, since it is larger than the sum of its proper divisors (2468058771).

3434359149 is a wasteful number, since it uses less digits than its factorization.

3434359149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13793 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3434359149 is about 58603.4056092306. The cubic root of 3434359149 is about 1508.7428902409.

The spelling of 3434359149 in words is "three billion, four hundred thirty-four million, three hundred fifty-nine thousand, one hundred forty-nine".

Divisors: 1 3 9 13 23 27 31 39 69 93 117 207 279 299 351 403 621 713 837 897 1209 2139 2691 3627 6417 8073 9269 10881 13723 19251 27807 41169 83421 123507 178399 250263 315629 370521 425413 535197 946887 1276239 1605591 2840661 3828717 4103177 4816773 5530369 8521983 9784499 11486151 12309531 16591107 29353497 36928593 49773321 88060491 110785779 127198487 149319963 264181473 381595461 1144786383 3434359149