Search a number
-
+
3300103404 = 2233135939839
BaseRepresentation
bin1100010010110011…
…1001010011101100
322111222201121211000
43010230321103230
523224311302104
61303244400300
7144531262503
oct30454712354
98458647730
103300103404
111443905594
12781246090
1340791a410
1423440583a
15144ac3639
hexc4b394ec

3300103404 has 96 divisors (see below), whose sum is σ = 9370368000. Its totient is φ = 998180928.

The previous prime is 3300103397. The next prime is 3300103421. The reversal of 3300103404 is 4043010033.

3300103404 is digitally balanced in base 2, 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62917 + ... + 102755.

It is an arithmetic number, because the mean of its divisors is an integer number (97608000).

Almost surely, 23300103404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300103404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685184000).

3300103404 is an abundant number, since it is smaller than the sum of its proper divisors (6070264596).

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

3300103404 is a wasteful number, since it uses less digits than its factorization.

3300103404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39924 (or 39916 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3300103404 is about 57446.5264746268. The cubic root of 3300103404 is about 1488.8211031398.

Adding to 3300103404 its reverse (4043010033), we get a palindrome (7343113437).

The spelling of 3300103404 in words is "three billion, three hundred million, one hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 108 117 118 156 177 234 236 351 354 468 531 702 708 767 1062 1404 1534 1593 2124 2301 3068 3186 4602 6372 6903 9204 13806 20709 27612 39839 41418 79678 82836 119517 159356 239034 358551 478068 517907 717102 1035814 1075653 1434204 1553721 2071628 2151306 2350501 3107442 4302612 4661163 4701002 6214884 7051503 9322326 9402004 13983489 14103006 18644652 21154509 27966978 28206012 30556513 42309018 55933956 61113026 63463527 84618036 91669539 122226052 126927054 183339078 253854108 275008617 366678156 550017234 825025851 1100034468 1650051702 3300103404