Search a number
-
+
346674841681 = 721942332
BaseRepresentation
bin1010000101101110110…
…11100100100001010001
31020010211100212122200011
411002313123210201101
521134442224413211
6423132112554521
734021632351100
oct5026733444121
91203740778604
10346674841681
11124029a01723
1257230852a41
13268caa1b01c
1412ac9dc8037
159040181921
hex50b76e4851

346674841681 has 45 divisors (see below), whose sum is σ = 427513588971. Its totient is φ = 280302198624.

The previous prime is 346674841621. The next prime is 346674841739. The reversal of 346674841681 is 186148476643.

The square root of 346674841681 is 588791.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70402662225 + 276272179456 = 265335^2 + 525616^2 .

It is not a de Polignac number, because 346674841681 - 215 = 346674808913 is a prime.

It is a super-2 number, since 2×3466748416812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (346674841621) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1487874741 + ... + 1487874973.

Almost surely, 2346674841681 is an apocalyptic number.

346674841681 is the 588791-st square number.

346674841681 is the 294396-th centered octagonal number.

It is an amenable number.

346674841681 is a deficient number, since it is larger than the sum of its proper divisors (80838747290).

346674841681 is an frugal number, since it uses more digits than its factorization.

346674841681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 259 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 58.

The spelling of 346674841681 in words is "three hundred forty-six billion, six hundred seventy-four million, eight hundred forty-one thousand, six hundred eighty-one".

Divisors: 1 7 19 49 133 233 361 931 1631 2527 4427 6859 11417 17689 30989 48013 54289 84113 130321 216923 336091 380023 588791 912247 1031491 1598147 2660161 4121537 6385729 7220437 11187029 19598329 30364793 50543059 78309203 137188303 212553551 372368251 960318121 1487874857 2606577757 7074996769 18246044299 49524977383 346674841681