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34410220400 = 2452147158481
BaseRepresentation
bin100000000011000000…
…100100101101110000
310021211002220022102102
4200003000210231300
51030433004023100
623450254235532
72325501022163
oct400300445560
9107732808372
1034410220400
1113658743986
126803ab5ba8
133324c9607a
141946063ada
15d65dd0cd5
hex803024b70

34410220400 has 60 divisors (see below), whose sum is σ = 82728169344. Its totient is φ = 13754496000.

The previous prime is 34410220357. The next prime is 34410220417. The reversal of 34410220400 is 402201443.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559160 + ... + 617640.

Almost surely, 234410220400 is an apocalyptic number.

It is an amenable number.

34410220400 is an abundant number, since it is smaller than the sum of its proper divisors (48317948944).

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

34410220400 is a wasteful number, since it uses less digits than its factorization.

34410220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59970 (or 59959 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34410220400 its reverse (402201443), we get a palindrome (34812421843).

The spelling of 34410220400 in words is "thirty-four billion, four hundred ten million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1471 2942 5884 7355 11768 14710 23536 29420 36775 58481 58840 73550 116962 117680 147100 233924 292405 294200 467848 584810 588400 935696 1169620 1462025 2339240 2924050 4678480 5848100 11696200 23392400 86025551 172051102 344102204 430127755 688204408 860255510 1376408816 1720511020 2150638775 3441022040 4301277550 6882044080 8602555100 17205110200 34410220400