Search a number
-
+
3463042644 = 223296195629
BaseRepresentation
bin1100111001101001…
…1101011001010100
322221100022210102200
43032122131121110
524043014331034
61331345004500
7151550243145
oct31632353124
98840283380
103463042644
111517885216
12807923730
134325c9979
1424bcdbacc
1515405ba99
hexce69d654

3463042644 has 18 divisors (see below), whose sum is σ = 8753802330. Its totient is φ = 1154347536.

The previous prime is 3463042621. The next prime is 3463042691. The reversal of 3463042644 is 4462403643.

3463042644 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 0 + 4 + 2 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3242163600 + 220879044 = 56940^2 + 14862^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 96195629 = 3463042644 / (3 + 4 + 6 + 3 + 0 + 4 + 2 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 3463042599 and 3463042608.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 48097779 + ... + 48097850.

Almost surely, 23463042644 is an apocalyptic number.

It is an amenable number.

3463042644 is an abundant number, since it is smaller than the sum of its proper divisors (5290759686).

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

3463042644 is a wasteful number, since it uses less digits than its factorization.

3463042644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96195639 (or 96195634 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 3463042644 is about 58847.6222459328. The cubic root of 3463042644 is about 1512.9315509593.

The spelling of 3463042644 in words is "three billion, four hundred sixty-three million, forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 96195629 192391258 288586887 384782516 577173774 865760661 1154347548 1731521322 3463042644