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830351973 = 31124353197
BaseRepresentation
bin110001011111100…
…010101001100101
32010212110020202210
4301133202221211
53200032230343
6214221154033
726401606143
oct6137425145
92125406683
10830351973
11396791800
121b20bb919
1310304c139
147c3ca593
154cd70333
hex317e2a65

830351973 has 24 divisors (see below), whose sum is σ = 1245258784. Its totient is φ = 491531040.

The previous prime is 830351969. The next prime is 830351981. The reversal of 830351973 is 379153038.

It is not a de Polignac number, because 830351973 - 22 = 830351969 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830351923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10990 + ... + 42207.

Almost surely, 2830351973 is an apocalyptic number.

It is an amenable number.

830351973 is a deficient number, since it is larger than the sum of its proper divisors (414906811).

830351973 is a wasteful number, since it uses less digits than its factorization.

830351973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53265 (or 53254 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 830351973 is about 28815.8285148978. The cubic root of 830351973 is about 939.9124609140.

The spelling of 830351973 in words is "eight hundred thirty million, three hundred fifty-one thousand, nine hundred seventy-three".

Divisors: 1 3 11 33 43 121 129 363 473 1419 5203 15609 53197 159591 585167 1755501 2287471 6436837 6862413 19310511 25162181 75486543 276783991 830351973