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1334270100 = 2235211339359
BaseRepresentation
bin100111110000111…
…0101100010010100
310102222122221111010
41033201311202110
510213033120400
6340222012220
745031052202
oct11741654224
93388587433
101334270100
11625184969
12312a17070
13183576747
14c92c2072
157c20e450
hex4f875894

1334270100 has 72 divisors (see below), whose sum is σ = 3894750720. Its totient is φ = 352647680.

The previous prime is 1334270057. The next prime is 1334270123. The reversal of 1334270100 is 10724331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14221 + ... + 53579.

It is an arithmetic number, because the mean of its divisors is an integer number (54093760).

Almost surely, 21334270100 is an apocalyptic number.

1334270100 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 1334270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947375360).

1334270100 is an abundant number, since it is smaller than the sum of its proper divisors (2560480620).

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

1334270100 is a wasteful number, since it uses less digits than its factorization.

1334270100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39489 (or 39482 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1334270100 is about 36527.6621206450. The cubic root of 1334270100 is about 1100.9001172381.

Adding to 1334270100 its reverse (10724331), we get a palindrome (1344994431).

The spelling of 1334270100 in words is "one billion, three hundred thirty-four million, two hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 5650 6780 8475 11300 16950 33900 39359 78718 118077 157436 196795 236154 393590 472308 590385 787180 983975 1180770 1967950 2361540 2951925 3935900 4447567 5903850 8895134 11807700 13342701 17790268 22237835 26685402 44475670 53370804 66713505 88951340 111189175 133427010 222378350 266854020 333567525 444756700 667135050 1334270100