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3153440000 = 285419709
BaseRepresentation
bin1011101111110101…
…1010110100000000
322010202202100110002
42323331122310000
522424240040000
61240525055132
7141100540424
oct27375326400
98122670402
103153440000
111379042167
127400b74a8
133b3419139
1421cb48b84
15136ca28d5
hexbbf5ad00

3153440000 has 90 divisors (see below), whose sum is σ = 7866083610. Its totient is φ = 1261312000.

The previous prime is 3153439997. The next prime is 3153440039. The reversal of 3153440000 is 443513.

It can be written as a sum of positive squares in 5 ways, for example, as 1218847744 + 1934592256 = 34912^2 + 43984^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 150146 + ... + 169854.

It is an arithmetic number, because the mean of its divisors is an integer number (87400929).

Almost surely, 23153440000 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 3153440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933041805).

3153440000 is an abundant number, since it is smaller than the sum of its proper divisors (4712643610).

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

3153440000 is an frugal number, since it uses more digits than its factorization.

3153440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19745 (or 19716 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3153440000 is about 56155.4983950815. The cubic root of 3153440000 is about 1466.4306323562.

Adding to 3153440000 its reverse (443513), we get a palindrome (3153883513).

The spelling of 3153440000 in words is "three billion, one hundred fifty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 19709 20000 32000 39418 40000 78836 80000 98545 157672 160000 197090 315344 394180 492725 630688 788360 985450 1261376 1576720 1970900 2463625 2522752 3153440 3941800 4927250 5045504 6306880 7883600 9854500 12318125 12613760 15767200 19709000 24636250 25227520 31534400 39418000 49272500 63068800 78836000 98545000 126137600 157672000 197090000 315344000 394180000 630688000 788360000 1576720000 3153440000