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1134813969 = 341921972
BaseRepresentation
bin100001110100011…
…1110001100010001
32221002100112010000
41003220332030101
54311003021334
6304335000213
740056521352
oct10350761421
92832315100
101134813969
11532633593
12278069069
1315114cb73
14aaa01d29
1569961299
hex43a3e311

1134813969 has 45 divisors (see below), whose sum is σ = 1798261707. Its totient is φ = 713086416.

The previous prime is 1134813959. The next prime is 1134814003. The reversal of 1134813969 is 9693184311.

The square root of 1134813969 is 33687.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1111889025 + 22924944 = 33345^2 + 4788^2 .

It is not a de Polignac number, because 1134813969 - 227 = 1000596241 is a prime.

It is a super-2 number, since 2×11348139692 = 2575605488475065922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1134813929) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5760379 + ... + 5760575.

Almost surely, 21134813969 is an apocalyptic number.

1134813969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1134813969 is the 33687-th square number.

1134813969 is the 16844-th centered octagonal number.

It is an amenable number.

1134813969 is a deficient number, since it is larger than the sum of its proper divisors (663447738).

1134813969 is an frugal number, since it uses more digits than its factorization.

1134813969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 219 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The cubic root of 1134813969 is about 1043.0574380197.

The spelling of 1134813969 in words is "one billion, one hundred thirty-four million, eight hundred thirteen thousand, nine hundred sixty-nine".

Divisors: 1 3 9 19 27 57 81 171 197 361 513 591 1083 1539 1773 3249 3743 5319 9747 11229 15957 29241 33687 38809 71117 101061 116427 213351 303183 349281 640053 737371 1047843 1920159 2212113 3143529 5760477 6636339 14010049 19909017 42030147 59727051 126090441 378271323 1134813969