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3425802336 = 2535113331
BaseRepresentation
bin1100110000110001…
…1001100001100000
322211202020210100000
43030030121201200
524004001133321
61323534500000
7150615560625
oct31414314140
98752223300
103425802336
1114a885a000
127b7364600
1342798b298
14246da634c
15150b52826
hexcc319860

3425802336 has 288 divisors, whose sum is σ = 11146052736. Its totient is φ = 1034985600.

The previous prime is 3425802323. The next prime is 3425802349. The reversal of 3425802336 is 6332085243.

It is a happy number.

3425802336 is a `hidden beast` number, since 3 + 42 + 580 + 2 + 3 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (3425802323) and next prime (3425802349).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34258023362 = 23472243290686113792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3425802336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10349691 + ... + 10350021.

It is an arithmetic number, because the mean of its divisors is an integer number (38701572).

Almost surely, 23425802336 is an apocalyptic number.

3425802336 is a gapful number since it is divisible by the number (36) 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 3425802336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573026368).

3425802336 is an abundant number, since it is smaller than the sum of its proper divisors (7720250400).

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

3425802336 is an equidigital number, since it uses as much as digits as its factorization.

3425802336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3425802336 is about 58530.3539712515. The cubic root of 3425802336 is about 1507.4888214809.

Adding to 3425802336 its reverse (6332085243), we get a palindrome (9757887579).

The spelling of 3425802336 in words is "three billion, four hundred twenty-five million, eight hundred two thousand, three hundred thirty-six".