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424331300 = 225210142013
BaseRepresentation
bin11001010010101…
…100100000100100
31002120110021010002
4121102230200210
51332112100200
6110034520432
713341520331
oct3122544044
91076407102
10424331300
111a8584428
12ba136118
1369bb0313
14404d9988
15273bcbd5
hex194ac824

424331300 has 36 divisors (see below), whose sum is σ = 929937876. Its totient is φ = 168048000.

The previous prime is 424331269. The next prime is 424331321. The reversal of 424331300 is 3133424.

It can be written as a sum of positive squares in 6 ways, for example, as 32924644 + 391406656 = 5738^2 + 19784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 10907 + ... + 31106.

Almost surely, 2424331300 is an apocalyptic number.

It is an amenable number.

424331300 is an abundant number, since it is smaller than the sum of its proper divisors (505606576).

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

424331300 is a wasteful number, since it uses less digits than its factorization.

424331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42128 (or 42121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 424331300 is about 20599.3033862798. The cubic root of 424331300 is about 751.4527693166.

Adding to 424331300 its reverse (3133424), we get a palindrome (427464724).

The spelling of 424331300 in words is "four hundred twenty-four million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 42013 84026 168052 210065 420130 840260 1050325 2100650 4201300 4243313 8486626 16973252 21216565 42433130 84866260 106082825 212165650 424331300