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3209806768 = 247232942967
BaseRepresentation
bin1011111101010001…
…1100001110110000
322021200211002010011
42333110130032300
523033202304033
61250301144304
7142353623140
oct27724341660
98250732104
103209806768
1113a7941373
12756b5b094
133c1cc345c
1422641c920
1513bbd8ccd
hexbf51c3b0

3209806768 has 80 divisors (see below), whose sum is σ = 7672366080. Its totient is φ = 1270418688.

The previous prime is 3209806757. The next prime is 3209806783. The reversal of 3209806768 is 8676089023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53221 + ... + 96187.

It is an arithmetic number, because the mean of its divisors is an integer number (95904576).

Almost surely, 23209806768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3209806768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836183040).

3209806768 is an abundant number, since it is smaller than the sum of its proper divisors (4462559312).

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

3209806768 is a wasteful number, since it uses less digits than its factorization.

3209806768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43034 (or 43028 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 3209806768 is about 56655.1565879047. The cubic root of 3209806768 is about 1475.1164160533.

The spelling of 3209806768 in words is "three billion, two hundred nine million, eight hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 56 58 92 112 116 161 184 203 232 322 368 406 464 644 667 812 1288 1334 1624 2576 2668 3248 4669 5336 9338 10672 18676 37352 42967 74704 85934 171868 300769 343736 601538 687472 988241 1203076 1246043 1976482 2406152 2492086 3952964 4812304 4984172 6917687 7905928 8722301 9968344 13835374 15811856 17444602 19936688 27670748 28658989 34889204 55341496 57317978 69778408 110682992 114635956 139556816 200612923 229271912 401225846 458543824 802451692 1604903384 3209806768