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30339000 = 2332533371
BaseRepresentation
bin111001110111…
…0111110111000
32010002101021200
41303232332320
530231322000
63002134200
7515606616
oct163567670
963071250
1030339000
111614215a
12a1b1360
136393393
14405a6b6
1529e4500
hex1ceefb8

30339000 has 96 divisors (see below), whose sum is σ = 102576240. Its totient is φ = 8088000.

The previous prime is 30338993. The next prime is 30339041. The reversal of 30339000 is 93303.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 23 ways as a sum of consecutive naturals, for example, 7315 + ... + 10685.

Almost surely, 230339000 is an apocalyptic number.

30339000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30339000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51288120).

30339000 is an abundant number, since it is smaller than the sum of its proper divisors (72237240).

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

30339000 is a wasteful number, since it uses less digits than its factorization.

30339000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 30339000 is about 5508.0849666649. The cubic root of 30339000 is about 311.8892605022.

The spelling of 30339000 in words is "thirty million, three hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 3371 4500 6742 9000 10113 13484 16855 20226 26968 30339 33710 40452 50565 60678 67420 80904 84275 101130 121356 134840 151695 168550 202260 242712 252825 303390 337100 404520 421375 505650 606780 674200 758475 842750 1011300 1213560 1264125 1516950 1685500 2022600 2528250 3033900 3371000 3792375 5056500 6067800 7584750 10113000 15169500 30339000