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1214042336 = 251331472003
BaseRepresentation
bin100100001011100…
…1101000011100000
310010121102201222222
41020113031003200
54441243323321
6320245050212
742041122013
oct11027150340
93117381888
101214042336
11573327a81
1229a6b6968
1316469cc60
14b734737a
15718b13ab
hex485cd0e0

1214042336 has 96 divisors (see below), whose sum is σ = 2714923008. Its totient is φ = 530449920.

The previous prime is 1214042329. The next prime is 1214042339. The reversal of 1214042336 is 6332404121.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214042339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605111 + ... + 607113.

It is an arithmetic number, because the mean of its divisors is an integer number (28280448).

Almost surely, 21214042336 is an apocalyptic number.

1214042336 is a gapful number since it is divisible by the number (16) 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 1214042336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357461504).

1214042336 is an abundant number, since it is smaller than the sum of its proper divisors (1500880672).

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

1214042336 is a wasteful number, since it uses less digits than its factorization.

1214042336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1214042336 is about 34843.1103089262. The cubic root of 1214042336 is about 1066.7875630332.

Adding to 1214042336 its reverse (6332404121), we get a palindrome (7546446457).

The spelling of 1214042336 in words is "one billion, two hundred fourteen million, forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 47 52 62 94 104 124 188 208 248 376 403 416 496 611 752 806 992 1222 1457 1504 1612 2003 2444 2914 3224 4006 4888 5828 6448 8012 9776 11656 12896 16024 18941 19552 23312 26039 32048 37882 46624 52078 62093 64096 75764 94141 104156 124186 151528 188282 208312 248372 303056 376564 416624 496744 606112 753128 807209 833248 993488 1223833 1506256 1614418 1986976 2447666 2918371 3012512 3228836 4895332 5836742 6457672 9790664 11673484 12915344 19581328 23346968 25830688 37938823 39162656 46693936 75877646 93387872 151755292 303510584 607021168 1214042336