Search a number
-
+
3644320240 = 245114141273
BaseRepresentation
bin1101100100110111…
…1110100111110000
3100101222102122112201
43121031332213300
524430421221430
61401342232544
7156211132231
oct33115764760
910358378481
103644320240
11160013a810
12858585754
1346102a212
14268009088
15164e188ca
hexd937e9f0

3644320240 has 40 divisors (see below), whose sum is σ = 9243323568. Its totient is φ = 1325207040.

The previous prime is 3644320231. The next prime is 3644320241. The reversal of 3644320240 is 420234463.

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

It is a junction number, because it is equal to n+sod(n) for n = 3644320199 and 3644320208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644320241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2069757 + ... + 2071516.

Almost surely, 23644320240 is an apocalyptic number.

It is an amenable number.

3644320240 is an abundant number, since it is smaller than the sum of its proper divisors (5599003328).

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

3644320240 is a wasteful number, since it uses less digits than its factorization.

3644320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141297 (or 4141291 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3644320240 is about 60368.2055390087. The cubic root of 3644320240 is about 1538.8826774811.

The spelling of 3644320240 in words is "three billion, six hundred forty-four million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4141273 8282546 16565092 20706365 33130184 41412730 45554003 66260368 82825460 91108006 165650920 182216012 227770015 331301840 364432024 455540030 728864048 911080060 1822160120 3644320240