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3431854816 = 251341201211
BaseRepresentation
bin1100110010001101…
…1111001011100000
322212011122021202221
43030203133023200
524012023323231
61324312320424
7151021166425
oct31443371340
98764567687
103431854816
111501213355
127b93a3114
13428cca130
14247addd4c
1515144ad11
hexcc8df2e0

3431854816 has 48 divisors (see below), whose sum is σ = 7453697328. Its totient is φ = 1545292800.

The previous prime is 3431854807. The next prime is 3431854823. The reversal of 3431854816 is 6184581343.

3431854816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83550 + ... + 117661.

It is an arithmetic number, because the mean of its divisors is an integer number (155285361).

Almost surely, 23431854816 is an apocalyptic number.

It is an amenable number.

3431854816 is an abundant number, since it is smaller than the sum of its proper divisors (4021842512).

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

3431854816 is a wasteful number, since it uses less digits than its factorization.

3431854816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201275 (or 201267 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 3431854816 is about 58582.0349253933. The cubic root of 3431854816 is about 1508.3760762087.

The spelling of 3431854816 in words is "three billion, four hundred thirty-one million, eight hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 8528 17056 201211 402422 804844 1609688 2615743 3219376 5231486 6438752 8249651 10462972 16499302 20925944 32998604 41851888 65997208 83703776 107245463 131994416 214490926 263988832 428981852 857963704 1715927408 3431854816