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630063306 = 23337973251
BaseRepresentation
bin100101100011100…
…000000011001010
31121220120112101000
4211203200003022
52242244011211
6142304235430
721420310155
oct4543400312
91556515330
10630063306
112a3721984
1215700bb76
13a06c3632
145d970c9c
153a4aa656
hex258e00ca

630063306 has 64 divisors (see below), whose sum is σ = 1453253760. Its totient is φ = 202176000.

The previous prime is 630063241. The next prime is 630063319. The reversal of 630063306 is 603360036.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 630063306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192181 + ... + 195431.

It is an arithmetic number, because the mean of its divisors is an integer number (22707090).

Almost surely, 2630063306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630063306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726626880).

630063306 is an abundant number, since it is smaller than the sum of its proper divisors (823190454).

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

630063306 is a wasteful number, since it uses less digits than its factorization.

630063306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 630063306 is about 25101.0618500493. The cubic root of 630063306 is about 857.2906014607.

The spelling of 630063306 in words is "six hundred thirty million, sixty-three thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 74 97 111 194 222 291 333 582 666 873 999 1746 1998 2619 3251 3589 5238 6502 7178 9753 10767 19506 21534 29259 32301 58518 64602 87777 96903 120287 175554 193806 240574 315347 360861 630694 721722 946041 1082583 1892082 2165166 2838123 3247749 5676246 6495498 8514369 11667839 17028738 23335678 35003517 70007034 105010551 210021102 315031653 630063306