Search a number
-
+
1334133300 = 223527336067
BaseRepresentation
bin100111110000101…
…0100001000110100
310102222101222211110
41033201110020310
510213014231200
6340215035020
745026642313
oct11741241064
93388358743
101334133300
116250a1105
1231296ba70
131835293b6
14c928827a
157c1d3b50
hex4f854234

1334133300 has 72 divisors (see below), whose sum is σ = 3865995616. Its totient is φ = 355224960.

The previous prime is 1334133289. The next prime is 1334133319. The reversal of 1334133300 is 33314331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216867 + ... + 222933.

Almost surely, 21334133300 is an apocalyptic number.

1334133300 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 1334133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932997808).

1334133300 is an abundant number, since it is smaller than the sum of its proper divisors (2531862316).

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

1334133300 is a wasteful number, since it uses less digits than its factorization.

1334133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 1334133300 is about 36525.7895191877. The cubic root of 1334133300 is about 1100.8624916021.

Adding to 1334133300 its reverse (33314331), we get a palindrome (1367447631).

The spelling of 1334133300 in words is "one billion, three hundred thirty-four million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 733 1466 2199 2932 3665 4398 6067 7330 8796 10995 12134 14660 18201 18325 21990 24268 30335 36402 36650 43980 54975 60670 72804 73300 91005 109950 121340 151675 182010 219900 303350 364020 455025 606700 910050 1820100 4447111 8894222 13341333 17788444 22235555 26682666 44471110 53365332 66706665 88942220 111177775 133413330 222355550 266826660 333533325 444711100 667066650 1334133300