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1334301030 = 2325193721089
BaseRepresentation
bin100111110000111…
…1101000101100110
310102222201111220200
41033201331011212
510213040113110
6340222411330
745031241316
oct11741750546
93388644820
101334301030
116251a6127
12312a30b46
1318358784a
14c92cd446
157c2186c0
hex4f87d166

1334301030 has 96 divisors (see below), whose sum is σ = 3750645600. Its totient is φ = 327960576.

The previous prime is 1334301019. The next prime is 1334301041. The reversal of 1334301030 is 301034331.

1334301030 is a `hidden beast` number, since 1 + 334 + 301 + 0 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (1334301019) and next prime (1334301041).

It is a super-3 number, since 3×13343010303 (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1334300994 and 1334301012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52726 + ... + 73814.

It is an arithmetic number, because the mean of its divisors is an integer number (39069225).

Almost surely, 21334301030 is an apocalyptic number.

1334301030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334301030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875322800).

1334301030 is an abundant number, since it is smaller than the sum of its proper divisors (2416344570).

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

1334301030 is a wasteful number, since it uses less digits than its factorization.

1334301030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21158 (or 21155 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1334301030 is about 36528.0854959578. The cubic root of 1334301030 is about 1100.9086239059.

Adding to 1334301030 its reverse (301034331), we get a palindrome (1635335361).

The spelling of 1334301030 in words is "one billion, three hundred thirty-four million, three hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 37 38 45 57 74 90 95 111 114 171 185 190 222 285 333 342 370 555 570 666 703 855 1110 1406 1665 1710 2109 3330 3515 4218 6327 7030 10545 12654 21089 21090 31635 42178 63267 63270 105445 126534 189801 210890 316335 379602 400691 632670 780293 801382 949005 1202073 1560586 1898010 2003455 2340879 2404146 3606219 3901465 4006910 4681758 6010365 7022637 7212438 7802930 11704395 12020730 14045274 14825567 18031095 23408790 29651134 35113185 36062190 44476701 70226370 74127835 88953402 133430103 148255670 222383505 266860206 444767010 667150515 1334301030