Search a number
-
+
13403330304 = 283713191783
BaseRepresentation
bin11000111101110011…
…01001011100000000
31021121002201201121220
430132321221130000
5204422223032204
610053555515040
7653101266510
oct143671513400
937532651556
1013403330304
115758915491
1227208b8a80
131357b0b0a0
14912159840
15536a721d9
hex31ee69700

13403330304 has 144 divisors (see below), whose sum is σ = 43904727552. Its totient is φ = 3534925824.

The previous prime is 13403330197. The next prime is 13403330309. The reversal of 13403330304 is 40303330431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13403330309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26004 + ... + 165779.

Almost surely, 213403330304 is an apocalyptic number.

13403330304 is a gapful number since it is divisible by the number (14) 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 13403330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21952363776).

13403330304 is an abundant number, since it is smaller than the sum of its proper divisors (30501397248).

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

13403330304 is a wasteful number, since it uses less digits than its factorization.

13403330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191822 (or 191808 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 13403330304 its reverse (40303330431), we get a palindrome (53706660735).

The spelling of 13403330304 in words is "thirteen billion, four hundred three million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 69888 191783 383566 575349 767132 1150698 1342481 1534264 2301396 2493179 2684962 3068528 4027443 4602792 4986358 5369924 6137056 7479537 8054886 9205584 9972716 10739848 12274112 14959074 16109772 17452253 18411168 19945432 21479696 24548224 29918148 32219544 34904506 36822336 39890864 42959392 49096448 52356759 59836296 64439088 69809012 73644672 79781728 85918784 104713518 119672592 128878176 139618024 147289344 159563456 171837568 209427036 239345184 257756352 279236048 319126912 343675136 418854072 478690368 515512704 558472096 638253824 837708144 957380736 1031025408 1116944192 1675416288 1914761472 2233888384 3350832576 4467776768 6701665152 13403330304