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1457114340 = 2235114351343
BaseRepresentation
bin101011011011001…
…1100110011100100
310202112211002002210
41112312130303210
510441010124330
6400331003420
751052160523
oct12666346344
93675732083
101457114340
11688559630
12347b99570
131a2b58146
14db73c4ba
1587dc78b0
hex56d9cce4

1457114340 has 96 divisors (see below), whose sum is σ = 4554418176. Its totient is φ = 345018240.

The previous prime is 1457114333. The next prime is 1457114341. The reversal of 1457114340 is 434117541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1457114298 and 1457114307.

It is not an unprimeable number, because it can be changed into a prime (1457114341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2709 + ... + 54051.

It is an arithmetic number, because the mean of its divisors is an integer number (47441856).

Almost surely, 21457114340 is an apocalyptic number.

1457114340 is a gapful number since it is divisible by the number (10) 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 1457114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277209088).

1457114340 is an abundant number, since it is smaller than the sum of its proper divisors (3097303836).

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

1457114340 is a wasteful number, since it uses less digits than its factorization.

1457114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51409 (or 51407 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1457114340 is about 38172.1670854564. The cubic root of 1457114340 is about 1133.6992972313.

It can be divided in two parts, 145711 and 4340, that added together give a palindrome (150051).

The spelling of 1457114340 in words is "one billion, four hundred fifty-seven million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 9460 14190 28380 51343 102686 154029 205372 256715 308058 513430 564773 616116 770145 1026860 1129546 1540290 1694319 2207749 2259092 2823865 3080580 3388638 4415498 5647730 6623247 6777276 8471595 8830996 11038745 11295460 13246494 16943190 22077490 24285239 26492988 33116235 33886380 44154980 48570478 66232470 72855717 97140956 121426195 132464940 145711434 242852390 291422868 364278585 485704780 728557170 1457114340