Search a number
-
+
1454134304 = 25717735231
BaseRepresentation
bin101011010101100…
…0101010000100000
310202100012200021002
41112223011100200
510434224244204
6400143051132
751014636420
oct12653052040
93670180232
101454134304
11686903697
12346ba0aa8
131a23538cc
14db1a4480
15879d991e
hex56ac5420

1454134304 has 96 divisors (see below), whose sum is σ = 3512388096. Its totient is φ = 578396160.

The previous prime is 1454134301. The next prime is 1454134349. The reversal of 1454134304 is 4034314541.

It is a happy number.

It is a super-2 number, since 2×14541343042 = 4229013148139128832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1454134301) 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, 275369 + ... + 280599.

It is an arithmetic number, because the mean of its divisors is an integer number (36587376).

Almost surely, 21454134304 is an apocalyptic number.

1454134304 is a gapful number since it is divisible by the number (14) 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 1454134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756194048).

1454134304 is an abundant number, since it is smaller than the sum of its proper divisors (2058253792).

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

1454134304 is a wasteful number, since it uses less digits than its factorization.

1454134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 1454134304 is about 38133.1129597362. The cubic root of 1454134304 is about 1132.9259032208.

Adding to 1454134304 its reverse (4034314541), we get a palindrome (5488448845).

The spelling of 1454134304 in words is "one billion, four hundred fifty-four million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 73 112 119 136 146 224 238 272 292 476 511 544 584 952 1022 1168 1241 1904 2044 2336 2482 3808 4088 4964 5231 8176 8687 9928 10462 16352 17374 19856 20924 34748 36617 39712 41848 69496 73234 83696 88927 138992 146468 167392 177854 277984 292936 355708 381863 585872 622489 711416 763726 1171744 1244978 1422832 1527452 2489956 2673041 2845664 3054904 4979912 5346082 6109808 6491671 9959824 10692164 12219616 12983342 19919648 21384328 25966684 42768656 45441697 51933368 85537312 90883394 103866736 181766788 207733472 363533576 727067152 1454134304