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3395431446 = 2311433113847
BaseRepresentation
bin1100101001100010…
…0010110000010110
322202122002210022020
43022120202300112
523423212301241
61320531514010
7150066456021
oct31230426026
98678083266
103395431446
1114926a59a0
127a9158906
134215b6544
14242d3c1b8
1514d153b66
hexca622c16

3395431446 has 64 divisors (see below), whose sum is σ = 7606849536. Its totient is φ = 1001498400.

The previous prime is 3395431439. The next prime is 3395431463. The reversal of 3395431446 is 6441345933.

It is a junction number, because it is equal to n+sod(n) for n = 3395431398 and 3395431407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880695 + ... + 884541.

It is an arithmetic number, because the mean of its divisors is an integer number (118857024).

Almost surely, 23395431446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395431446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803424768).

3395431446 is an abundant number, since it is smaller than the sum of its proper divisors (4211418090).

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

3395431446 is a wasteful number, since it uses less digits than its factorization.

3395431446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217.

The product of its digits is 466560, while the sum is 42.

The square root of 3395431446 is about 58270.3307524507. The cubic root of 3395431446 is about 1503.0207933435.

The spelling of 3395431446 in words is "three billion, three hundred ninety-five million, four hundred thirty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 311 473 622 933 946 1419 1866 2838 3421 3847 6842 7694 10263 11541 13373 20526 23082 26746 40119 42317 80238 84634 126951 147103 165421 253902 294206 330842 441309 496263 882618 992526 1196417 1819631 2392834 3589251 3639262 5458893 7178502 10917786 13160587 26321174 39481761 51445931 78963522 102891862 154337793 308675586 565905241 1131810482 1697715723 3395431446