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643630240 = 25511365699
BaseRepresentation
bin100110010111010…
…000010010100000
31122212002210201001
4212113100102200
52304232131430
6143511121344
721643524001
oct4627202240
91585083631
10643630240
11300348a20
1215b673254
13a34638c6
14616a31a8
153b78a3ca
hex265d04a0

643630240 has 48 divisors (see below), whose sum is σ = 1658815200. Its totient is φ = 234046720.

The previous prime is 643630237. The next prime is 643630243. The reversal of 643630240 is 42036346.

It is an interprime number because it is at equal distance from previous prime (643630237) and next prime (643630243).

It is a junction number, because it is equal to n+sod(n) for n = 643630199 and 643630208.

It is not an unprimeable number, because it can be changed into a prime (643630243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 181090 + ... + 184609.

It is an arithmetic number, because the mean of its divisors is an integer number (34558650).

Almost surely, 2643630240 is an apocalyptic number.

It is an amenable number.

643630240 is an abundant number, since it is smaller than the sum of its proper divisors (1015184960).

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

643630240 is a wasteful number, since it uses less digits than its factorization.

643630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365725 (or 365717 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 643630240 is about 25369.8687422698. The cubic root of 643630240 is about 863.4002038545.

Adding to 643630240 its reverse (42036346), we get a palindrome (685666586).

The spelling of 643630240 in words is "six hundred forty-three million, six hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 365699 731398 1462796 1828495 2925592 3656990 4022689 5851184 7313980 8045378 11702368 14627960 16090756 20113445 29255920 32181512 40226890 58511840 64363024 80453780 128726048 160907560 321815120 643630240