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3234494816 = 257292332137
BaseRepresentation
bin1100000011001010…
…0111100101100000
322100102021100202022
43000302213211200
523111012313231
61252542241012
7143103516020
oct30062474540
98312240668
103234494816
11140a873913
12763286168
133c7158677
14229807a80
1513de63c7b
hexc0ca7960

3234494816 has 96 divisors (see below), whose sum is σ = 7564415040. Its totient is φ = 1332043776.

The previous prime is 3234494743. The next prime is 3234494819. The reversal of 3234494816 is 6184944323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234494819) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1512500 + ... + 1514636.

It is an arithmetic number, because the mean of its divisors is an integer number (78795990).

Almost surely, 23234494816 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 3234494816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782207520).

3234494816 is an abundant number, since it is smaller than the sum of its proper divisors (4329920224).

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

3234494816 is a wasteful number, since it uses less digits than its factorization.

3234494816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2408 counting only the distinct ones).

The product of its digits is 497664, while the sum is 44.

The square root of 3234494816 is about 56872.6192117085. The cubic root of 3234494816 is about 1478.8886860679. Note that the first 3 decimals are identical.

The spelling of 3234494816 in words is "three billion, two hundred thirty-four million, four hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 233 406 464 466 812 928 932 1624 1631 1864 2137 3248 3262 3728 4274 6496 6524 6757 7456 8548 13048 13514 14959 17096 26096 27028 29918 34192 47299 52192 54056 59836 61973 68384 94598 108112 119672 123946 189196 216224 239344 247892 378392 433811 478688 495784 497921 756784 867622 991568 995842 1513568 1735244 1983136 1991684 3470488 3485447 3983368 6940976 6970894 7966736 13881952 13941788 14439709 15933472 27883576 28879418 55767152 57758836 101077963 111534304 115517672 202155926 231035344 404311852 462070688 808623704 1617247408 3234494816