Search a number
-
+
1353003344 = 247111764601
BaseRepresentation
bin101000010100101…
…0011000101010000
310111021220200122222
41100221103011100
510232332101334
6342131320212
745346224110
oct12051230520
93437820588
101353003344
1163480a490
12319150068
131874053c4
14cb99b040
157dbaed2e
hex50a53150

1353003344 has 80 divisors (see below), whose sum is σ = 3460599936. Its totient is φ = 496128000.

The previous prime is 1353003341. The next prime is 1353003349. The reversal of 1353003344 is 4433003531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353003341) 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 15 ways as a sum of consecutive naturals, for example, 11357 + ... + 53244.

Almost surely, 21353003344 is an apocalyptic number.

1353003344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1353003344 is an abundant number, since it is smaller than the sum of its proper divisors (2107596592).

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

1353003344 is a wasteful number, since it uses less digits than its factorization.

1353003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64644 (or 64638 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 1353003344 is about 36783.1937710689. The cubic root of 1353003344 is about 1106.0284287792.

Adding to 1353003344 its reverse (4433003531), we get a palindrome (5786006875).

The spelling of 1353003344 in words is "one billion, three hundred fifty-three million, three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 10472 20944 64601 129202 258404 452207 516808 710611 904414 1033616 1098217 1421222 1808828 2196434 2842444 3617656 4392868 4974277 5684888 7235312 7687519 8785736 9948554 11369776 12080387 15375038 17571472 19897108 24160774 30750076 39794216 48321548 61500152 79588432 84562709 96643096 123000304 169125418 193286192 338250836 676501672 1353003344