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3426369920 = 27521125373
BaseRepresentation
bin1100110000111010…
…0100000110000000
322211210022121220122
43030032210012000
524004122314140
61323554555412
7150623443451
oct31416440600
98753277818
103426369920
1114a9107486
127b7598b68
13427b2972c
142470b3128
15150c15ab5
hexcc3a4180

3426369920 has 64 divisors (see below), whose sum is σ = 8230310640. Its totient is φ = 1363998720.

The previous prime is 3426369913. The next prime is 3426369929. The reversal of 3426369920 is 299636243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426369929) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 122354 + ... + 147726.

Almost surely, 23426369920 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 3426369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115155320).

3426369920 is an abundant number, since it is smaller than the sum of its proper divisors (4803940720).

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

3426369920 is a wasteful number, since it uses less digits than its factorization.

3426369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25603 (or 25591 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 44.

The square root of 3426369920 is about 58535.2023999234. The cubic root of 3426369920 is about 1507.5720700363.

The spelling of 3426369920 in words is "three billion, four hundred twenty-six million, three hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 320 422 640 844 1055 1688 2110 3376 4220 6752 8440 13504 16880 25373 27008 33760 50746 67520 101492 126865 135040 202984 253730 405968 507460 811936 1014920 1623872 2029840 3247744 4059680 5353703 8119360 10707406 16238720 21414812 26768515 42829624 53537030 85659248 107074060 171318496 214148120 342636992 428296240 685273984 856592480 1713184960 3426369920