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3438129852 = 223295503607
BaseRepresentation
bin1100110011101101…
…1011001010111100
322212121110002111200
43030323123022330
524020130123402
61325055015500
7151125423123
oct31473331274
98777402450
103438129852
111504809933
127bb50a590
1342a3b6381
14248894aba
15151c8a21c
hexccedb2bc

3438129852 has 18 divisors (see below), whose sum is σ = 8690828328. Its totient is φ = 1146043272.

The previous prime is 3438129847. The next prime is 3438129869. The reversal of 3438129852 is 2589218343.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 3438129798 and 3438129807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47751768 + ... + 47751839.

It is an arithmetic number, because the mean of its divisors is an integer number (482823796).

Almost surely, 23438129852 is an apocalyptic number.

It is an amenable number.

3438129852 is an abundant number, since it is smaller than the sum of its proper divisors (5252698476).

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

3438129852 is a wasteful number, since it uses less digits than its factorization.

3438129852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95503617 (or 95503612 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3438129852 is about 58635.5681476696. The cubic root of 3438129852 is about 1509.2948554748.

The spelling of 3438129852 in words is "three billion, four hundred thirty-eight million, one hundred twenty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 95503607 191007214 286510821 382014428 573021642 859532463 1146043284 1719064926 3438129852