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34426884352 = 28788321757
BaseRepresentation
bin100000000100000000…
…001001000100000000
310021212021020221001211
4200010000021010000
51031001240244402
623452051335504
72326062455140
oct400400110400
9107767227054
1034426884352
1113667095843
1268095b1594
13332857bbb3
141948360920
15d675c34d7
hex804009100

34426884352 has 72 divisors (see below), whose sum is σ = 78628886336. Its totient is φ = 14736992256.

The previous prime is 34426884343. The next prime is 34426884389. The reversal of 34426884352 is 25348862443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34426884296 and 34426884305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1571458 + ... + 1593214.

Almost surely, 234426884352 is an apocalyptic number.

34426884352 is a gapful number since it is divisible by the number (32) 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 34426884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39314443168).

34426884352 is an abundant number, since it is smaller than the sum of its proper divisors (44202001984).

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

34426884352 is an equidigital number, since it uses as much as digits as its factorization.

34426884352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22663 (or 22649 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 49.

The spelling of 34426884352 in words is "thirty-four billion, four hundred twenty-six million, eight hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 883 896 1766 1792 3532 6181 7064 12362 14128 21757 24724 28256 43514 49448 56512 87028 98896 113024 152299 174056 197792 226048 304598 348112 395584 609196 696224 791168 1218392 1392448 1582336 2436784 2784896 4873568 5569792 9747136 19211431 19494272 38422862 38988544 76845724 134480017 153691448 268960034 307382896 537920068 614765792 1075840136 1229531584 2151680272 2459063168 4303360544 4918126336 8606721088 17213442176 34426884352