Search a number
-
+
1334003440 = 245721130937
BaseRepresentation
bin100111110000011…
…0100011011110000
310102222011101200211
41033200310123300
510213001102230
6340212153504
745025561600
oct11740643360
93388141624
101334003440
11625012590
12312908894
131834b2263
14c9252c00
157c1aa42a
hex4f8346f0

1334003440 has 120 divisors (see below), whose sum is σ = 3936056112. Its totient is φ = 415779840.

The previous prime is 1334003431. The next prime is 1334003441. The reversal of 1334003440 is 443004331.

1334003440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334003441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27652 + ... + 58588.

Almost surely, 21334003440 is an apocalyptic number.

1334003440 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 1334003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968028056).

1334003440 is an abundant number, since it is smaller than the sum of its proper divisors (2602052672).

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

1334003440 is a wasteful number, since it uses less digits than its factorization.

1334003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30975 (or 30962 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1334003440 is about 36524.0118278373. The cubic root of 1334003440 is about 1100.8267723723.

Adding to 1334003440 its reverse (443004331), we get a palindrome (1777007771).

The spelling of 1334003440 in words is "one billion, three hundred thirty-four million, three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1960 2156 2695 3080 3920 4312 5390 6160 8624 10780 21560 30937 43120 61874 123748 154685 216559 247496 309370 340307 433118 494992 618740 680614 866236 1082795 1237480 1361228 1515913 1701535 1732472 2165590 2382149 2474960 2722456 3031826 3403070 3464944 4331180 4764298 5444912 6063652 6806140 7579565 8662360 9528596 11910745 12127304 13612280 15159130 16675043 17324720 19057192 23821490 24254608 27224560 30318260 33350086 38114384 47642980 60636520 66700172 83375215 95285960 121273040 133400344 166750430 190571920 266800688 333500860 667001720 1334003440