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34021465296 = 24371359913003
BaseRepresentation
bin11111101011110101…
…100101110011010000
310020211000101111200020
4133223311211303100
51024133443342141
623343530023440
72313040453320
oct375365456320
9106730344606
1034021465296
1113479259475
126715877b80
133292590b70
14190a589280
15d41bde266
hex7ebd65cd0

34021465296 has 160 divisors (see below), whose sum is σ = 108359731200. Its totient is φ = 8957025792.

The previous prime is 34021465259. The next prime is 34021465297. The reversal of 34021465296 is 69256412043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021465297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2609931 + ... + 2622933.

It is an arithmetic number, because the mean of its divisors is an integer number (677248320).

Almost surely, 234021465296 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 34021465296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54179865600).

34021465296 is an abundant number, since it is smaller than the sum of its proper divisors (74338265904).

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

34021465296 is a wasteful number, since it uses less digits than its factorization.

34021465296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13633 (or 13627 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 34021465296 in words is "thirty-four billion, twenty-one million, four hundred sixty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 599 624 728 1092 1198 1456 1797 2184 2396 3594 4193 4368 4792 7188 7787 8386 9584 12579 13003 14376 15574 16772 23361 25158 26006 28752 31148 33544 39009 46722 50316 52012 54509 62296 67088 78018 91021 93444 100632 104024 109018 124592 156036 163527 169039 182042 186888 201264 208048 218036 273063 312072 327054 338078 364084 373776 436072 507117 546126 624144 654108 676156 728168 872144 1014234 1092252 1183273 1308216 1352312 1456336 2028468 2184504 2366546 2616432 2704624 3549819 4056936 4369008 4733092 7099638 7788797 8113872 9466184 14199276 15577594 18932368 23366391 28398552 31155188 46732782 54521579 56797104 62310376 93465564 101254361 109043158 124620752 163564737 186931128 202508722 218086316 303763083 327129474 373862256 405017444 436172632 607526166 654258948 708780527 810034888 872345264 1215052332 1308517896 1417561054 1620069776 2126341581 2430104664 2617035792 2835122108 4252683162 4860209328 5670244216 8505366324 11340488432 17010732648 34021465296