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3426404352 = 2113779669
BaseRepresentation
bin1100110000111010…
…1100100000000000
322211210101101010220
43030032230200000
524004124414402
61323555423040
7150623646030
oct31416544000
98753341126
103426404352
1114a9130338
127b75b4a80
13427b3c2c7
142470c18c0
15150c20dbc
hexcc3ac800

3426404352 has 96 divisors (see below), whose sum is σ = 10439956800. Its totient is φ = 978960384.

The previous prime is 3426404329. The next prime is 3426404357. The reversal of 3426404352 is 2534046243.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3426404357) 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, 3174 + ... + 82842.

It is an arithmetic number, because the mean of its divisors is an integer number (108749550).

Almost surely, 23426404352 is an apocalyptic number.

3426404352 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 3426404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219978400).

3426404352 is an abundant number, since it is smaller than the sum of its proper divisors (7013552448).

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

3426404352 is an equidigital number, since it uses as much as digits as its factorization.

3426404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79701 (or 79681 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 3426404352 is about 58535.4965127998. The cubic root of 3426404352 is about 1507.5771199432.

The spelling of 3426404352 in words is "three billion, four hundred twenty-six million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 79669 159338 239007 318676 478014 557683 637352 956028 1115366 1274704 1673049 1912056 2230732 2549408 3346098 3824112 4461464 5098816 6692196 7648224 8922928 10197632 13384392 15296448 17845856 20395264 26768784 30592896 35691712 40790528 53537568 61185792 71383424 81581056 107075136 122371584 142766848 163162112 214150272 244743168 285533696 428300544 489486336 571067392 856601088 1142134784 1713202176 3426404352