Search a number
-
+
1434411312 = 243178321179
BaseRepresentation
bin101010101111111…
…0110000100110000
310200222002122101220
41111133312010300
510414202130222
6354200225040
750355203115
oct12537660460
93628078356
101434411312
116767624a4
1234046b180
1319b2395b9
14d870c90c
1585de0b5c
hex557f6130

1434411312 has 80 divisors (see below), whose sum is σ = 3970995840. Its totient is φ = 444568576.

The previous prime is 1434411299. The next prime is 1434411313. The reversal of 1434411312 is 2131144341.

It is a super-2 number, since 2×14344113122 = 4115071623987122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1434411313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57139 + ... + 78317.

It is an arithmetic number, because the mean of its divisors is an integer number (49637448).

Almost surely, 21434411312 is an apocalyptic number.

1434411312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985497920).

1434411312 is an abundant number, since it is smaller than the sum of its proper divisors (2536584528).

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

1434411312 is a wasteful number, since it uses less digits than its factorization.

1434411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21290 (or 21284 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1434411312 is about 37873.6229056582. The cubic root of 1434411312 is about 1127.7804637894.

Adding to 1434411312 its reverse (2131144341), we get a palindrome (3565555653).

The spelling of 1434411312 in words is "one billion, four hundred thirty-four million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 204 249 272 332 408 498 664 816 996 1328 1411 1992 2822 3984 4233 5644 8466 11288 16932 21179 22576 33864 42358 63537 67728 84716 127074 169432 254148 338864 360043 508296 720086 1016592 1080129 1440172 1757857 2160258 2880344 3515714 4320516 5273571 5760688 7031428 8641032 10547142 14062856 17282064 21094284 28125712 29883569 42188568 59767138 84377136 89650707 119534276 179301414 239068552 358602828 478137104 717205656 1434411312