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830402265 = 357211271379
BaseRepresentation
bin110001011111101…
…110111011011001
32010212112210202110
4301133232323121
53200040333030
6214222222533
726402205600
oct6137567331
92125483673
10830402265
11396816570
121b2124a49
13103068cb4
147c400a37
154cd801b0
hex317eeed9

830402265 has 96 divisors (see below), whose sum is σ = 1696757760. Its totient is φ = 342921600.

The previous prime is 830402257. The next prime is 830402267. The reversal of 830402265 is 562204038.

It is not a de Polignac number, because 830402265 - 23 = 830402257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (830402267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2190846 + ... + 2191224.

It is an arithmetic number, because the mean of its divisors is an integer number (17674560).

Almost surely, 2830402265 is an apocalyptic number.

It is an amenable number.

830402265 is an abundant number, since it is smaller than the sum of its proper divisors (866355495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

830402265 is a wasteful number, since it uses less digits than its factorization.

830402265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 830402265 is about 28816.7011470779. The cubic root of 830402265 is about 939.9314364507.

The spelling of 830402265 in words is "eight hundred thirty million, four hundred two thousand, two hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 271 379 385 539 735 813 1137 1155 1355 1617 1895 1897 2653 2695 2981 4065 4169 5685 5691 7959 8085 8943 9485 12507 13265 13279 14905 18571 20845 20867 28455 29183 39795 39837 44715 55713 62535 62601 66395 87549 92855 102709 104335 145915 146069 199185 204281 278565 308127 313005 437745 438207 513545 612843 718963 730345 1021405 1129799 1540635 2156889 2191035 3064215 3389397 3594815 5032741 5648995 7908593 10784445 15098223 16946985 23725779 25163705 39542965 55360151 75491115 118628895 166080453 276800755 830402265