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3204112401 = 32721132569
BaseRepresentation
bin1011111011111010…
…1110000000010001
322021022002202220200
42332332232000101
523030223044101
61245535125413
7142254335400
oct27676560021
98238082820
103204112401
1113a4702086
12755073869
133c0a7b5c9
14225779637
1513b461986
hexbefae011

3204112401 has 54 divisors (see below), whose sum is σ = 5441392710. Its totient is φ = 1811529216.

The previous prime is 3204112369. The next prime is 3204112409. The reversal of 3204112401 is 1042114023.

It can be written as a sum of positive squares in 3 ways, for example, as 589324176 + 2614788225 = 24276^2 + 51135^2 .

It is not a de Polignac number, because 3204112401 - 25 = 3204112369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3204112409) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 5630845 + ... + 5631413.

Almost surely, 23204112401 is an apocalyptic number.

It is an amenable number.

3204112401 is a deficient number, since it is larger than the sum of its proper divisors (2237280309).

3204112401 is a wasteful number, since it uses less digits than its factorization.

3204112401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3204112401 is about 56604.8796571462. The cubic root of 3204112401 is about 1474.2435881842.

Adding to 3204112401 its reverse (1042114023), we get a palindrome (4246226424).

The spelling of 3204112401 in words is "three billion, two hundred four million, one hundred twelve thousand, four hundred one".

Divisors: 1 3 7 9 21 49 63 113 147 339 441 569 791 1017 1707 2373 3983 5121 5537 7119 11949 12769 16611 27881 35847 38307 49833 64297 83643 89383 114921 192891 250929 268149 450079 578673 625681 804447 1350237 1877043 3150553 4050711 5631129 7265561 9451659 21796683 28354977 50858927 65390049 152576781 356012489 457730343 1068037467 3204112401