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1830003294 = 237261671523
BaseRepresentation
bin110110100010011…
…1010001001011110
311201112110210120210
41231010322021132
512221440101134
6501331153250
763230525400
oct15504721136
94645423523
101830003294
11859a97619
12430a45826
132321966b2
14135086b70
15aa9d32e9
hex6d13a25e

1830003294 has 96 divisors (see below), whose sum is σ = 4394825856. Its totient is φ = 506278080.

The previous prime is 1830003293. The next prime is 1830003299. The reversal of 1830003294 is 4923000381.

1830003294 is a modest number, since divided by 3294 gives 1830 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830003293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1200817 + ... + 1202339.

It is an arithmetic number, because the mean of its divisors is an integer number (45779436).

Almost surely, 21830003294 is an apocalyptic number.

1830003294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830003294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197412928).

1830003294 is an abundant number, since it is smaller than the sum of its proper divisors (2564822562).

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

1830003294 is a wasteful number, since it uses less digits than its factorization.

1830003294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1830003294 is about 42778.5377730469. The cubic root of 1830003294 is about 1223.1619345894.

The spelling of 1830003294 in words is "one billion, eight hundred thirty million, three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 49 61 67 98 122 134 147 183 201 294 366 402 427 469 854 938 1281 1407 1523 2562 2814 2989 3046 3283 4087 4569 5978 6566 8174 8967 9138 9849 10661 12261 17934 19698 21322 24522 28609 31983 57218 63966 74627 85827 92903 102041 149254 171654 185806 200263 204082 223881 278709 306123 400526 447762 557418 600789 612246 650321 714287 1201578 1300642 1428574 1950963 2142861 3901926 4285722 4552247 5000009 6224501 9104494 10000018 12449002 13656741 15000027 18673503 27313482 30000054 37347006 43571507 87143014 130714521 261429042 305000549 610001098 915001647 1830003294