Search a number
-
+
893434363332 = 223719563994309
BaseRepresentation
bin11010000000001001101…
…01100111110111000100
310011102002222101011220220
431000010311213313010
5104114223144111312
61522234343024340
7121356064533450
oct15000465476704
93142088334826
10893434363332
113149a3451895
121251a143b0b0
13663344667b4
1431357417660
1518390e12c8c
hexd004d67dc4

893434363332 has 96 divisors (see below), whose sum is σ = 2512342963200. Its totient is φ = 241402073472.

The previous prime is 893434363307. The next prime is 893434363373. The reversal of 893434363332 is 233363434398.

It is a super-2 number, since 2×8934343633322 (a number of 25 digits) contains 22 as substring.

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, 401394 + ... + 1395702.

It is an arithmetic number, because the mean of its divisors is an integer number (26170239200).

Almost surely, 2893434363332 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 893434363332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256171481600).

893434363332 is an abundant number, since it is smaller than the sum of its proper divisors (1618908599868).

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

893434363332 is a wasteful number, since it uses less digits than its factorization.

893434363332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994905 (or 994903 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 51.

The spelling of 893434363332 in words is "eight hundred ninety-three billion, four hundred thirty-four million, three hundred sixty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 563 798 1126 1596 1689 2252 3378 3941 6756 7882 10697 11823 15764 21394 23646 32091 42788 47292 64182 74879 128364 149758 224637 299516 449274 898548 994309 1988618 2982927 3977236 5965854 6960163 11931708 13920326 18891871 20880489 27840652 37783742 41760978 56675613 75567484 83521956 113351226 132243097 226702452 264486194 396729291 528972388 559795967 793458582 1119591934 1586917164 1679387901 2239183868 3358775802 3918571769 6717551604 7837143538 10636123373 11755715307 15674287076 21272246746 23511430614 31908370119 42544493492 47022861228 63816740238 74452863611 127633480476 148905727222 223358590833 297811454444 446717181666 893434363332