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322800030 = 232573131637
BaseRepresentation
bin10011001111011…
…000100110011110
3211111101221101200
4103033120212132
51130114100110
652010420330
710666516650
oct2317304636
9744357350
10322800030
11156237493
12901316a6
1351b51847
1430c2a6d0
151d5146c0
hex133d899e

322800030 has 96 divisors (see below), whose sum is σ = 962829504. Its totient is φ = 73502208.

The previous prime is 322799999. The next prime is 322800041. The reversal of 322800030 is 30008223.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 322799976 and 322800012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196372 + ... + 198008.

It is an arithmetic number, because the mean of its divisors is an integer number (10029474).

Almost surely, 2322800030 is an apocalyptic number.

322800030 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 322800030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481414752).

322800030 is an abundant number, since it is smaller than the sum of its proper divisors (640029474).

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

322800030 is a wasteful number, since it uses less digits than its factorization.

322800030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 322800030 is about 17966.6365800614. The cubic root of 322800030 is about 685.9795813125.

Adding to 322800030 its reverse (30008223), we get a palindrome (352808253).

The spelling of 322800030 in words is "three hundred twenty-two million, eight hundred thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 313 315 626 630 939 1565 1637 1878 2191 2817 3130 3274 4382 4695 4911 5634 6573 8185 9390 9822 10955 11459 13146 14085 14733 16370 19719 21910 22918 24555 28170 29466 32865 34377 39438 49110 57295 65730 68754 73665 98595 103131 114590 147330 171885 197190 206262 343770 512381 515655 1024762 1031310 1537143 2561905 3074286 3586667 4611429 5123810 7173334 7685715 9222858 10760001 15371430 17933335 21520002 23057145 32280003 35866670 46114290 53800005 64560006 107600010 161400015 322800030