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893434014 = 2321117433613
BaseRepresentation
bin110101010000001…
…011100010011110
32022021011011001200
4311100023202132
53312204342024
6224353220330
731066030614
oct6520134236
92267134050
10893434014
11419358220
1220b2616a6
13113137ba5
148692b6b4
15536812c9
hex3540b89e

893434014 has 96 divisors (see below), whose sum is σ = 2244793824. Its totient is φ = 253808640.

The previous prime is 893434013. The next prime is 893434021. The reversal of 893434014 is 410434398.

It is a self number, because there is not a number n which added to its sum of digits gives 893434014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893434013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457172 + ... + 1457784.

It is an arithmetic number, because the mean of its divisors is an integer number (23383269).

Almost surely, 2893434014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893434014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122396912).

893434014 is an abundant number, since it is smaller than the sum of its proper divisors (1351359810).

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

893434014 is a wasteful number, since it uses less digits than its factorization.

893434014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 893434014 is about 29890.3665752028. The cubic root of 893434014 is about 963.1357294220.

The spelling of 893434014 in words is "eight hundred ninety-three million, four hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 433 561 613 866 1122 1226 1299 1683 1839 2598 3366 3678 3897 4763 5517 6743 7361 7794 9526 10421 11034 13486 14289 14722 20229 20842 22083 28578 31263 40458 42867 44166 60687 62526 66249 80971 85734 93789 114631 121374 132498 161942 187578 229262 242913 265429 343893 485826 530858 687786 728739 796287 1031679 1457478 1592574 2063358 2388861 2919719 4512293 4777722 5839438 8759157 9024586 13536879 17518314 26277471 27073758 40610637 49635223 52554942 81221274 99270446 148905669 297811338 446717007 893434014