Search a number
-
+
341727930625 = 546723492
BaseRepresentation
bin1001111100100001001…
…00100110100100000001
31012200001121101112110011
410332100210212210001
521044324322240000
6420553155304521
733455223324634
oct4762044464401
91180047345404
10341727930625
11121a20565184
125628bbab141
13262bcb89813
141277adc5c1b
158d50c152ba
hex4f90926901

341727930625 has 45 divisors (see below), whose sum is σ = 434737485567. Its totient is φ = 268530372000.

The previous prime is 341727930601. The next prime is 341727930689. The reversal of 341727930625 is 526039727143.

The square root of 341727930625 is 584575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 184617168241 + 157110762384 = 429671^2 + 396372^2 .

It is a de Polignac number, because none of the positive numbers 2k-341727930625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 979162951 + ... + 979163299.

Almost surely, 2341727930625 is an apocalyptic number.

341727930625 is the 584575-th square number.

341727930625 is the 292288-th centered octagonal number.

It is an amenable number.

341727930625 is a deficient number, since it is larger than the sum of its proper divisors (93009554942).

341727930625 is an frugal number, since it uses more digits than its factorization.

341727930625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 49.

Multiplying 341727930625 by its sum of digits (49), we get a square (16744668600625 = 40920252).

The spelling of 341727930625 in words is "three hundred forty-one billion, seven hundred twenty-seven million, nine hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 67 125 335 349 625 1675 1745 4489 8375 8725 22445 23383 41875 43625 112225 116915 121801 218125 561125 584575 609005 1566661 2805625 2922875 3045025 7833305 8160667 14614375 15225125 39166525 40803335 76125625 195832625 204016675 546764689 979163125 1020083375 2733823445 5100416875 13669117225 68345586125 341727930625