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34268801292 = 223211831042619
BaseRepresentation
bin11111111010100101…
…000110100100001100
310021110020210110212200
4133322211012210030
51030140303120132
623424243201500
72322133001445
oct377245064414
9107406713780
1034268801292
1113595932690
126784676290
1333018acb1b
1419313702cc
15d58798d7c
hex7fa94690c

34268801292 has 72 divisors (see below), whose sum is σ = 95637447360. Its totient is φ = 10259361120.

The previous prime is 34268801269. The next prime is 34268801353. The reversal of 34268801292 is 29210886243.

It is a super-3 number, since 3×342688012923 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488442 + ... + 554177.

It is an arithmetic number, because the mean of its divisors is an integer number (1328297880).

Almost surely, 234268801292 is an apocalyptic number.

It is an amenable number.

34268801292 is an abundant number, since it is smaller than the sum of its proper divisors (61368646068).

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

34268801292 is a wasteful number, since it uses less digits than its factorization.

34268801292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042723 (or 1042718 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 34268801292 in words is "thirty-four billion, two hundred sixty-eight million, eight hundred one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3652 5478 8217 10956 16434 32868 1042619 2085238 3127857 4170476 6255714 9383571 11468809 12511428 18767142 22937618 34406427 37534284 45875236 68812854 86537377 103219281 137625708 173074754 206438562 259612131 346149508 412877124 519224262 778836393 951911147 1038448524 1557672786 1903822294 2855733441 3115345572 3807644588 5711466882 8567200323 11422933764 17134400646 34268801292