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10304020332 = 223223373171061
BaseRepresentation
bin10011001100010101…
…01101111101101100
3222121002211110121200
421212022231331230
5132100312122312
64422242525500
7513225504414
oct114612557554
928532743550
1010304020332
114408394a91
121bb6966890
13c82995168
146da6a1644
154049130dc
hex2662adf6c

10304020332 has 144 divisors (see below), whose sum is σ = 28027726272. Its totient is φ = 3183459840.

The previous prime is 10304020291. The next prime is 10304020333. The reversal of 10304020332 is 23302040301.

10304020332 is a `hidden beast` number, since 10 + 304 + 0 + 20 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10304020333) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9711082 + ... + 9712142.

It is an arithmetic number, because the mean of its divisors is an integer number (194636988).

Almost surely, 210304020332 is an apocalyptic number.

10304020332 is a gapful number since it is divisible by the number (12) 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 10304020332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013863136).

10304020332 is an abundant number, since it is smaller than the sum of its proper divisors (17723705940).

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

10304020332 is a wasteful number, since it uses less digits than its factorization.

10304020332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1443 counting only the distinct ones).

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

Adding to 10304020332 its reverse (23302040301), we get a palindrome (33606060633).

The spelling of 10304020332 in words is "ten billion, three hundred four million, twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 138 148 207 222 276 317 333 414 444 634 666 828 851 951 1061 1268 1332 1702 1902 2122 2553 2853 3183 3404 3804 4244 5106 5706 6366 7291 7659 9549 10212 11412 11729 12732 14582 15318 19098 21873 23458 24403 29164 30636 35187 38196 39257 43746 46916 48806 65619 70374 73209 78514 87492 97612 105561 117771 131238 140748 146418 157028 211122 219627 235542 262476 269767 292836 336337 353313 422244 439254 471084 539534 672674 706626 809301 878508 902911 1009011 1079068 1345348 1413252 1618602 1805822 2018022 2427903 2708733 3027033 3237204 3611644 4036044 4855806 5417466 6054066 7735751 8126199 9711612 10834932 12108132 12444469 15471502 16252398 23207253 24888938 30943004 32504796 37333407 46414506 49777876 69621759 74666814 92829012 112000221 139243518 149333628 224000442 278487036 286222787 448000884 572445574 858668361 1144891148 1717336722 2576005083 3434673444 5152010166 10304020332