Search a number
-
+
30303900 = 223252113061
BaseRepresentation
bin111001110011…
…0011010011100
32010000121010200
41303212122130
530224211100
63001303500
7515402364
oct163463234
963017120
1030303900
1116118850
12a194b90
136380403
14404b9a4
1529d8e00
hex1ce669c

30303900 has 108 divisors (see below), whose sum is σ = 103654824. Its totient is φ = 7344000.

The previous prime is 30303893. The next prime is 30303929. The reversal of 30303900 is 930303.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8370 + ... + 11430.

Almost surely, 230303900 is an apocalyptic number.

30303900 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 30303900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51827412).

30303900 is an abundant number, since it is smaller than the sum of its proper divisors (73350924).

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

30303900 is a wasteful number, since it uses less digits than its factorization.

30303900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3082 counting only the distinct ones).

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

The square root of 30303900 is about 5504.8978192152. The cubic root of 30303900 is about 311.7689364143.

The spelling of 30303900 in words is "thirty million, three hundred three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3061 3300 4950 6122 9183 9900 12244 15305 18366 27549 30610 33671 36732 45915 55098 61220 67342 76525 91830 101013 110196 134684 137745 153050 168355 183660 202026 229575 275490 303039 306100 336710 404052 459150 505065 550980 606078 673420 688725 841775 918300 1010130 1212156 1377450 1515195 1683550 2020260 2525325 2754900 3030390 3367100 5050650 6060780 7575975 10101300 15151950 30303900