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3300313230 = 23258325323
BaseRepresentation
bin1100010010110110…
…1100100010001110
322112000010021122100
43010231230202032
523224340010410
61303253055530
7144533125314
oct30455544216
98460107570
103300313230
111443a391a5
127813275a6
13407991a86
1423445c0b4
15144b158c0
hexc4b6c88e

3300313230 has 72 divisors (see below), whose sum is σ = 8687074968. Its totient is φ = 869316768.

The previous prime is 3300313213. The next prime is 3300313249. The reversal of 3300313230 is 323130033.

3300313230 is a `hidden beast` number, since 330 + 0 + 313 + 23 + 0 = 666.

It is a super-2 number, since 2×33003132302 = 21784134832226065800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 617349 + ... + 622671.

It is an arithmetic number, because the mean of its divisors is an integer number (120653819).

Almost surely, 23300313230 is an apocalyptic number.

3300313230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300313230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343537484).

3300313230 is an abundant number, since it is smaller than the sum of its proper divisors (5386761738).

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

3300313230 is a wasteful number, since it uses less digits than its factorization.

3300313230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3300313230 is about 57448.3527178978. The cubic root of 3300313230 is about 1488.8526563689.

Adding to 3300313230 its reverse (323130033), we get a palindrome (3623443263).

The spelling of 3300313230 in words is "three billion, three hundred million, three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 5323 6889 7470 10646 13778 15969 20667 26615 31938 34445 41334 47907 53230 62001 68890 79845 95814 103335 124002 159690 206670 239535 310005 441809 479070 620010 883618 1325427 2209045 2650854 3976281 4418090 6627135 7952562 13254270 19881405 36670147 39762810 73340294 110010441 183350735 220020882 330031323 366701470 550052205 660062646 1100104410 1650156615 3300313230