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1838340036 = 2234131074079
BaseRepresentation
bin110110110010010…
…1101011111000100
311202010011100110000
41231210231133010
512231103340121
6502230001300
763361426641
oct15544553704
94663140400
101838340036
11863771095
124337a6230
13233b25190
14136216dc8
15ab5cd526
hex6d92d7c4

1838340036 has 120 divisors (see below), whose sum is σ = 5225109120. Its totient is φ = 560219328.

The previous prime is 1838340011. The next prime is 1838340089. The reversal of 1838340036 is 6300438381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 448645 + ... + 452723.

It is an arithmetic number, because the mean of its divisors is an integer number (43542576).

Almost surely, 21838340036 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 1838340036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612554560).

1838340036 is an abundant number, since it is smaller than the sum of its proper divisors (3386769084).

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

1838340036 is a wasteful number, since it uses less digits than its factorization.

1838340036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4204 counting only the distinct ones).

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

The square root of 1838340036 is about 42875.8677579825. The cubic root of 1838340036 is about 1225.0165286677.

The spelling of 1838340036 in words is "one billion, eight hundred thirty-eight million, three hundred forty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 107 108 117 156 162 214 234 321 324 351 428 468 642 702 963 1053 1284 1391 1404 1926 2106 2782 2889 3852 4079 4173 4212 5564 5778 8158 8346 8667 11556 12237 12519 16316 16692 17334 24474 25038 34668 36711 37557 48948 50076 53027 73422 75114 106054 110133 112671 146844 150228 159081 212108 220266 225342 318162 330399 436453 440532 450684 477243 636324 660798 872906 954486 1309359 1321596 1431729 1745812 1908972 2618718 2863458 3928077 4295187 5237436 5673889 5726916 7856154 8590374 11347778 11784231 15712308 17021667 17180748 22695556 23568462 34043334 35352693 47136924 51065001 68086668 70705386 102130002 141410772 153195003 204260004 306390006 459585009 612780012 919170018 1838340036