Search a number
-
+
10304303004 = 22331492412657
BaseRepresentation
bin10011001100010111…
…10010111110011100
3222121010100211101000
421212023302332130
5132100400144004
64422252550300
7513231062502
oct114613627634
928533324330
1010304303004
1144085683a6
121bb6a82390
13c82a63a18
146da736672
1540496bc39
hex2662f2f9c

10304303004 has 96 divisors (see below), whose sum is σ = 27015912000. Its totient is φ = 3396280320.

The previous prime is 10304302993. The next prime is 10304303011. The reversal of 10304303004 is 40030340301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3876844 + ... + 3879500.

It is an arithmetic number, because the mean of its divisors is an integer number (281415750).

Almost surely, 210304303004 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 10304303004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507956000).

10304303004 is an abundant number, since it is smaller than the sum of its proper divisors (16711608996).

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

10304303004 is a wasteful number, since it uses less digits than its factorization.

10304303004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3052 counting only the distinct ones).

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

Adding to 10304303004 its reverse (40030340301), we get a palindrome (50334643305).

It can be divided in two parts, 1030 and 4303004, that added together give a palindrome (4304034).

The spelling of 10304303004 in words is "ten billion, three hundred four million, three hundred three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 241 298 447 482 596 723 894 964 1341 1446 1788 2169 2657 2682 2892 4023 4338 5314 5364 6507 7971 8046 8676 10628 13014 15942 16092 23913 26028 31884 35909 47826 71739 71818 95652 107727 143478 143636 215454 286956 323181 395893 430908 640337 646362 791786 969543 1187679 1280674 1292724 1583572 1921011 1939086 2375358 2561348 3563037 3842022 3878172 4750716 5763033 7126074 7684044 10689111 11526066 14252148 17289099 21378222 23052132 34578198 42756444 69156396 95410213 190820426 286230639 381640852 572461278 858691917 1144922556 1717383834 2576075751 3434767668 5152151502 10304303004