Search a number
-
+
334929570361 = 1725925772
BaseRepresentation
bin1001101111110110101…
…10111010101000111001
31012000111211002001101021
410313323112322220321
520441413432222421
6413510423022441
733124603242421
oct4677326725071
91160454061337
10334929570361
1111a052013521
1254ab329aa21
1325778593339
14122d4157481
158aa3e7b341
hex4dfb5baa39

334929570361 has 27 divisors (see below), whose sum is σ = 362551124109. Its totient is φ = 309347923968.

The previous prime is 334929570323. The next prime is 334929570389. The reversal of 334929570361 is 163075929433.

It is a happy number.

The square root of 334929570361 is 578731.

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

It can be written as a sum of positive squares in 4 ways, for example, as 236408915961 + 98520654400 = 486219^2 + 313880^2 .

It is not a de Polignac number, because 334929570361 - 225 = 334896015929 is a prime.

It is a super-2 number, since 2×3349295703612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 334929570299 and 334929570308.

It is not an unprimeable number, because it can be changed into a prime (334929570061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 580466905 + ... + 580467481.

Almost surely, 2334929570361 is an apocalyptic number.

334929570361 is the 578731-st square number.

334929570361 is the 289366-th centered octagonal number.

It is an amenable number.

334929570361 is a deficient number, since it is larger than the sum of its proper divisors (27621553748).

334929570361 is an frugal number, since it uses more digits than its factorization.

334929570361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 52.

The spelling of 334929570361 in words is "three hundred thirty-four billion, nine hundred twenty-nine million, five hundred seventy thousand, three hundred sixty-one".

Divisors: 1 17 59 289 577 1003 3481 9809 17051 34043 59177 166753 332929 578731 1006009 2008537 5659793 9838427 19642811 34145129 96216481 333927787 580467193 1158925849 5676772379 19701739433 334929570361