Search a number
-
+
3643740961 = 73116791433
BaseRepresentation
bin1101100100101111…
…0001001100100001
3100101221100012220221
43121023301030201
524430244202321
61401322003041
7156203200330
oct33113611441
910357305827
103643740961
1115aa884573
12858346481
13460b86653
14267cd7d17
15164d51e41
hexd92f1321

3643740961 has 8 divisors (see below), whose sum is σ = 4298607104. Its totient is φ = 3022457760.

The previous prime is 3643740953. The next prime is 3643740973. The reversal of 3643740961 is 1690473463.

3643740961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3643740961 - 23 = 3643740953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3643740911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8395500 + ... + 8395933.

It is an arithmetic number, because the mean of its divisors is an integer number (537325888).

Almost surely, 23643740961 is an apocalyptic number.

3643740961 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3643740961 is a deficient number, since it is larger than the sum of its proper divisors (654866143).

3643740961 is a wasteful number, since it uses less digits than its factorization.

3643740961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16791471.

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 3643740961 is about 60363.4074667758. The cubic root of 3643740961 is about 1538.8011360141.

The spelling of 3643740961 in words is "three billion, six hundred forty-three million, seven hundred forty thousand, nine hundred sixty-one".

Divisors: 1 7 31 217 16791433 117540031 520534423 3643740961