Search a number
-
+
330425400 = 23352796971
BaseRepresentation
bin10011101100011…
…110010000111000
3212000202100102210
4103230132100320
51134042103100
652442055120
711121366234
oct2354362070
9760670383
10330425400
1115a575548
12927aa4a0
13535c15b6
1431c535c4
151e01dc50
hex13b1e438

330425400 has 96 divisors (see below), whose sum is σ = 1037433600. Its totient is φ = 86985600.

The previous prime is 330425377. The next prime is 330425401. The reversal of 330425400 is 4524033.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330425401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43915 + ... + 50885.

It is an arithmetic number, because the mean of its divisors is an integer number (10806600).

Almost surely, 2330425400 is an apocalyptic number.

330425400 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 330425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518716800).

330425400 is an abundant number, since it is smaller than the sum of its proper divisors (707008200).

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

330425400 is a wasteful number, since it uses less digits than its factorization.

330425400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7069 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 330425400 is about 18177.6071032466. The cubic root of 330425400 is about 691.3391342908.

Adding to 330425400 its reverse (4524033), we get a palindrome (334949433).

The spelling of 330425400 in words is "three hundred thirty million, four hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1185 1580 1896 1975 2370 3160 3950 4740 5925 6971 7900 9480 11850 13942 15800 20913 23700 27884 34855 41826 47400 55768 69710 83652 104565 139420 167304 174275 209130 278840 348550 418260 522825 550709 697100 836520 1045650 1101418 1394200 1652127 2091300 2202836 2753545 3304254 4182600 4405672 5507090 6608508 8260635 11014180 13217016 13767725 16521270 22028360 27535450 33042540 41303175 55070900 66085080 82606350 110141800 165212700 330425400