Search a number
-
+
3343730625 = 34542572
BaseRepresentation
bin1100011101001101…
…0100011111000001
322122000211010010000
43013103110133001
523321443340000
61311443430213
7145601145534
oct30723243701
98560733100
103343730625
1114664a3344
12793985369
13413983c41
1423a120a1b
15148840000
hexc74d47c1

3343730625 has 75 divisors (see below), whose sum is σ = 6266077807. Its totient is φ = 1776384000.

The previous prime is 3343730581. The next prime is 3343730627. The reversal of 3343730625 is 5260373433.

The square root of 3343730625 is 57825.

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

3343730625 is a `hidden beast` number, since 3 + 343 + 7 + 306 + 2 + 5 = 666.

3343730625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 527942529 + 2815788096 = 22977^2 + 53064^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 3343730625 - 27 = 3343730497 is a prime.

It is a super-2 number, since 2×33437306252 = 22361068985125781250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3343730625.

It is not an unprimeable number, because it can be changed into a prime (3343730627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 13010497 + ... + 13010753.

Almost surely, 23343730625 is an apocalyptic number.

3343730625 is the 57825-th square number.

3343730625 is the 28913-rd centered octagonal number.

It is an amenable number.

3343730625 is a deficient number, since it is larger than the sum of its proper divisors (2922347182).

3343730625 is an frugal number, since it uses more digits than its factorization.

3343730625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The cubic root of 3343730625 is about 1495.3531191981.

Multiplying 3343730625 by its sum of digits (36), we get a square (120374302500 = 3469502).

The spelling of 3343730625 in words is "three billion, three hundred forty-three million, seven hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 257 375 405 625 675 771 1125 1285 1875 2025 2313 3375 3855 5625 6425 6939 10125 11565 16875 19275 20817 32125 34695 50625 57825 66049 96375 104085 160625 173475 198147 289125 330245 481875 520425 594441 867375 990735 1445625 1651225 1783323 2602125 2972205 4336875 4953675 5349969 8256125 8916615 13010625 14861025 24768375 26749845 41280625 44583075 74305125 123841875 133749225 222915375 371525625 668746125 1114576875 3343730625