Search a number
-
+
33364303320 = 23353535631399
BaseRepresentation
bin11111000100101010…
…101101110111011000
310012010012211012220210
4133010222231313120
51021312230201240
623154412451120
72260540620225
oct370452556730
9105105735823
1033364303320
11131713089a7
126571779aa0
1331b93a001a
1418871a294c
15d0417e780
hex7c4aaddd8

33364303320 has 128 divisors (see below), whose sum is σ = 100626624000. Its totient is φ = 8849854464.

The previous prime is 33364303303. The next prime is 33364303339. The reversal of 33364303320 is 2330346333.

It is a super-2 number, since 2×333643033202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 23847981 + ... + 23849379.

It is an arithmetic number, because the mean of its divisors is an integer number (786145500).

Almost surely, 233364303320 is an apocalyptic number.

33364303320 is a gapful number since it is divisible by the number (30) 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 33364303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50313312000).

33364303320 is an abundant number, since it is smaller than the sum of its proper divisors (67262320680).

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

33364303320 is a wasteful number, since it uses less digits than its factorization.

33364303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 33364303320 its reverse (2330346333), we get a palindrome (35694649653).

The spelling of 33364303320 in words is "thirty-three billion, three hundred sixty-four million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353 563 706 1059 1126 1399 1412 1689 1765 2118 2252 2798 2815 2824 3378 3530 4197 4236 4504 5295 5596 5630 6756 6995 7060 8394 8445 8472 10590 11192 11260 13512 13990 14120 16788 16890 20985 21180 22520 27980 33576 33780 41970 42360 55960 67560 83940 167880 198739 397478 493847 596217 787637 794956 987694 993695 1192434 1481541 1575274 1589912 1975388 1987390 2362911 2384868 2469235 2963082 2981085 3150548 3938185 3950776 3974780 4725822 4769736 4938470 5926164 5962170 6301096 7407705 7876370 7949560 9451644 9876940 11814555 11852328 11924340 14815410 15752740 18903288 19753880 23629110 23848680 29630820 31505480 47258220 59261640 94516440 278035861 556071722 834107583 1112143444 1390179305 1668215166 2224286888 2780358610 3336430332 4170537915 5560717220 6672860664 8341075830 11121434440 16682151660 33364303320