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830001330 = 23451024693
BaseRepresentation
bin110001011110001…
…101000010110010
32010211210102210000
4301132031002302
53144440020310
6214205450430
726365615644
oct6136150262
92124712700
10830001330
11396572314
121b1b70a16
13102c58662
147c338894
154cd014c0
hex3178d0b2

830001330 has 40 divisors (see below), whose sum is σ = 2231783532. Its totient is φ = 221333472.

The previous prime is 830001329. The next prime is 830001331. The reversal of 830001330 is 33100038.

It is an interprime number because it is at equal distance from previous prime (830001329) and next prime (830001331).

It can be written as a sum of positive squares in 2 ways, for example, as 829958481 + 42849 = 28809^2 + 207^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (830001331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 511537 + ... + 513156.

Almost surely, 2830001330 is an apocalyptic number.

830001330 is an abundant number, since it is smaller than the sum of its proper divisors (1401782202).

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

830001330 is a wasteful number, since it uses less digits than its factorization.

830001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024712 (or 1024703 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 830001330 is about 28809.7436642536. The cubic root of 830001330 is about 939.7801394657.

Adding to 830001330 its reverse (33100038), we get a palindrome (863101368).

The spelling of 830001330 in words is "eight hundred thirty million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1024693 2049386 3074079 5123465 6148158 9222237 10246930 15370395 18444474 27666711 30740790 46111185 55333422 83000133 92222370 138333555 166000266 276667110 415000665 830001330