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3464704832 = 2631256333
BaseRepresentation
bin1100111010000011…
…0011001101000000
322221110110020112012
43032200303031000
524043431023312
61331444352052
7151600335161
oct31640631500
98843406465
103464704832
111518810026
128083a5628
13432a5c404
1424c211768
15154289322
hexce833340

3464704832 has 42 divisors (see below), whose sum is σ = 7104337074. Its totient is φ = 1676440320.

The previous prime is 3464704807. The next prime is 3464704861. The reversal of 3464704832 is 2384074643.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1948692736 + 1516012096 = 44144^2 + 38936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3464704832.

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 5 ways as a sum of consecutive naturals, for example, 33338 + ... + 89670.

Almost surely, 23464704832 is an apocalyptic number.

3464704832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3464704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552168537).

3464704832 is an abundant number, since it is smaller than the sum of its proper divisors (3639632242).

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

3464704832 is an equidigital number, since it uses as much as digits as its factorization.

3464704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56407 (or 56366 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The square root of 3464704832 is about 58861.7433652793. The cubic root of 3464704832 is about 1513.1735707367.

The spelling of 3464704832 in words is "three billion, four hundred sixty-four million, seven hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 7688 15376 30752 56333 61504 112666 225332 450664 901328 1746323 1802656 3492646 3605312 6985292 13970584 27941168 54136013 55882336 108272026 111764672 216544052 433088104 866176208 1732352416 3464704832