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1000230320 = 24543129009
BaseRepresentation
bin111011100111100…
…100110110110000
32120201002222001102
4323213210312300
54022024332240
6243130223532
733533550245
oct7347446660
92521088042
101000230320
11473670931
1223ab84ba8
1312c2bac7b
1496bab5cc
155cc29815
hex3b9e4db0

1000230320 has 40 divisors (see below), whose sum is σ = 2331011520. Its totient is φ = 399150080.

The previous prime is 1000230313. The next prime is 1000230323. The reversal of 1000230320 is 230320001.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1000230323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19976 + ... + 48984.

It is an arithmetic number, because the mean of its divisors is an integer number (58275288).

Almost surely, 21000230320 is an apocalyptic number.

1000230320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000230320 is an abundant number, since it is smaller than the sum of its proper divisors (1330781200).

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

1000230320 is a wasteful number, since it uses less digits than its factorization.

1000230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29453 (or 29447 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1000230320 is about 31626.4180709735. The cubic root of 1000230320 is about 1000.0767674399.

Adding to 1000230320 its reverse (230320001), we get a palindrome (1230550321).

The spelling of 1000230320 in words is "one billion, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 431 862 1724 2155 3448 4310 6896 8620 17240 29009 34480 58018 116036 145045 232072 290090 464144 580180 1160360 2320720 12502879 25005758 50011516 62514395 100023032 125028790 200046064 250057580 500115160 1000230320