Search a number
-
+
1344000204 = 2232190719577
BaseRepresentation
bin101000000011011…
…1101000011001100
310110122222021200100
41100012331003030
510223031001304
6341210331100
745206545641
oct12006750314
93418867610
101344000204
1162a720278
12316129a90
131855a24c1
14ca6d5dc8
157ced2439
hex501bd0cc

1344000204 has 36 divisors (see below), whose sum is σ = 3399288984. Its totient is φ = 447742272.

The previous prime is 1344000181. The next prime is 1344000209. The reversal of 1344000204 is 4020004431.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×13440002043 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1344000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58864 + ... + 78440.

It is an arithmetic number, because the mean of its divisors is an integer number (94424694).

Almost surely, 21344000204 is an apocalyptic number.

It is an amenable number.

1344000204 is an abundant number, since it is smaller than the sum of its proper divisors (2055288780).

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

1344000204 is a wasteful number, since it uses less digits than its factorization.

1344000204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21494 (or 21489 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1344000204 is about 36660.6083419247. The cubic root of 1344000204 is about 1103.5697263878.

Adding to 1344000204 its reverse (4020004431), we get a palindrome (5364004635).

The spelling of 1344000204 in words is "one billion, three hundred forty-four million, two hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 1907 3814 5721 7628 11442 17163 19577 22884 34326 39154 58731 68652 78308 117462 176193 234924 352386 704772 37333339 74666678 112000017 149333356 224000034 336000051 448000068 672000102 1344000204