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3243253644 = 22322324116253
BaseRepresentation
bin1100000101010000…
…0001111110001100
322101000202100121100
43001110001332030
523120233104034
61253454103100
7143241125661
oct30124017614
98330670540
103243253644
111414806514
127661aaa90
133c8c042c7
1422aa47a68
1513eae4099
hexc1501f8c

3243253644 has 72 divisors (see below), whose sum is σ = 8590694112. Its totient is φ = 1029726720.

The previous prime is 3243253631. The next prime is 3243253649. The reversal of 3243253644 is 4463523423.

3243253644 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 2 + 5 + 3 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3243253599 and 3243253608.

It is not an unprimeable number, because it can be changed into a prime (3243253649) 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 23 ways as a sum of consecutive naturals, for example, 191422 + ... + 207674.

It is an arithmetic number, because the mean of its divisors is an integer number (119315196).

Almost surely, 23243253644 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 3243253644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295347056).

3243253644 is an abundant number, since it is smaller than the sum of its proper divisors (5347440468).

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

3243253644 is a wasteful number, since it uses less digits than its factorization.

3243253644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16527 (or 16522 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 3243253644 is about 56949.5710607200. The cubic root of 3243253644 is about 1480.2223984024. Note that the first 3 decimals are identical.

The spelling of 3243253644 in words is "three billion, two hundred forty-three million, two hundred fifty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 241 276 414 482 723 828 964 1446 2169 2892 4338 5543 8676 11086 16253 16629 22172 32506 33258 48759 49887 65012 66516 97518 99774 146277 195036 199548 292554 373819 585108 747638 1121457 1495276 2242914 3364371 3916973 4485828 6728742 7833946 11750919 13457484 15667892 23501838 35252757 47003676 70505514 90090379 141011028 180180758 270271137 360361516 540542274 810813411 1081084548 1621626822 3243253644