Search a number
-
+
320000100 = 223527152381
BaseRepresentation
bin10011000100101…
…101000001100100
3211022010200121120
4103010231001210
51123410000400
651430413540
710633645620
oct2304550144
9738120546
10320000100
111546a48a2
128b2012b0
13513b1294
14306dc180
151d15eca0
hex1312d064

320000100 has 72 divisors (see below), whose sum is σ = 1058140608. Its totient is φ = 73142400.

The previous prime is 320000089. The next prime is 320000113. The reversal of 320000100 is 1000023.

320000100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

320000100 is strictly pandigital in base 9.

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 23 ways as a sum of consecutive naturals, for example, 74091 + ... + 78290.

Almost surely, 2320000100 is an apocalyptic number.

320000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320000100 is an abundant number, since it is smaller than the sum of its proper divisors (738140508).

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

320000100 is a wasteful number, since it uses less digits than its factorization.

320000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152405 (or 152398 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 320000100 is about 17888.5466150831. The cubic root of 320000100 is about 683.9904499197.

Adding to 320000100 its reverse (1000023), we get a palindrome (321000123).

The spelling of 320000100 in words is "three hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 152381 304762 457143 609524 761905 914286 1066667 1523810 1828572 2133334 2285715 3047620 3200001 3809525 4266668 4571430 5333335 6400002 7619050 9142860 10666670 11428575 12800004 15238100 16000005 21333340 22857150 26666675 32000010 45714300 53333350 64000020 80000025 106666700 160000050 320000100