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1334204300 = 2252111327177
BaseRepresentation
bin100111110000110…
…0101011110001100
310102222112121020002
41033201211132030
510213024014200
6340220343432
745030356312
oct11741453614
93388477202
101334204300
1162513a490
123129a4b78
13183552800
14c92a60b2
157c1e9bd5
hex4f86578c

1334204300 has 108 divisors (see below), whose sum is σ = 3420546696. Its totient is φ = 447782400.

The previous prime is 1334204297. The next prime is 1334204323. The reversal of 1334204300 is 34024331.

It is a super-2 number, since 2×13342043002 = 3560202228276980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182312 + ... + 189488.

Almost surely, 21334204300 is an apocalyptic number.

1334204300 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 1334204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710273348).

1334204300 is an abundant number, since it is smaller than the sum of its proper divisors (2086342396).

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

1334204300 is a wasteful number, since it uses less digits than its factorization.

1334204300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1334204300 is about 36526.7614222778. The cubic root of 1334204300 is about 1100.8820198482.

Adding to 1334204300 its reverse (34024331), we get a palindrome (1368228631).

The spelling of 1334204300 in words is "one billion, three hundred thirty-four million, two hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 169 220 260 275 286 325 338 550 572 650 676 715 845 1100 1300 1430 1690 1859 2860 3380 3575 3718 4225 7150 7177 7436 8450 9295 14300 14354 16900 18590 28708 35885 37180 46475 71770 78947 92950 93301 143540 157894 179425 185900 186602 315788 358850 373204 394735 466505 717700 789470 933010 1026311 1212913 1578940 1866020 1973675 2052622 2332525 2425826 3947350 4105244 4665050 4851652 5131555 6064565 7894700 9330100 10263110 12129130 13342043 20526220 24258260 25657775 26684086 30322825 51315550 53368172 60645650 66710215 102631100 121291300 133420430 266840860 333551075 667102150 1334204300