Search a number
-
+
1164456345 = 351333118041
BaseRepresentation
bin100010101101000…
…0011000110011001
310000011010111210210
41011122003012121
54341100100340
6311314201333
740566500313
oct10532030631
93004114723
101164456345
1154833a318
12285b83249
1315732b130
14b091a7b3
156c369180
hex45683199

1164456345 has 32 divisors (see below), whose sum is σ = 2012621184. Its totient is φ = 571507200.

The previous prime is 1164456313. The next prime is 1164456347. The reversal of 1164456345 is 5436544611.

It is not a de Polignac number, because 1164456345 - 25 = 1164456313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1164456347) 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 31 ways as a sum of consecutive naturals, for example, 55525 + ... + 73565.

It is an arithmetic number, because the mean of its divisors is an integer number (62894412).

Almost surely, 21164456345 is an apocalyptic number.

1164456345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1164456345 is a deficient number, since it is larger than the sum of its proper divisors (848164839).

1164456345 is a wasteful number, since it uses less digits than its factorization.

1164456345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18393.

The product of its digits is 172800, while the sum is 39.

The square root of 1164456345 is about 34124.1314175174. The cubic root of 1164456345 is about 1052.0613609170.

The spelling of 1164456345 in words is "one billion, one hundred sixty-four million, four hundred fifty-six thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 65 195 331 993 1655 4303 4965 12909 18041 21515 54123 64545 90205 234533 270615 703599 1172665 3517995 5971571 17914713 29857855 77630423 89573565 232891269 388152115 1164456345