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3023242000 = 24531979559
BaseRepresentation
bin1011010000110011…
…0000001100010000
321210200202121100221
42310030300030100
522142422221000
61215554322424
7134630063422
oct26414601420
97720677327
103023242000
1113115a5509
12704589414
133924614bc
14209736812
1512a63561a
hexb4330310

3023242000 has 80 divisors (see below), whose sum is σ = 7695043200. Its totient is φ = 1145635200.

The previous prime is 3023241919. The next prime is 3023242003. The reversal of 3023242000 is 2423203.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3023242003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780 + ... + 77779.

It is an arithmetic number, because the mean of its divisors is an integer number (96188040).

Almost surely, 23023242000 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 3023242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847521600).

3023242000 is an abundant number, since it is smaller than the sum of its proper divisors (4671801200).

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

3023242000 is a wasteful number, since it uses less digits than its factorization.

3023242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79601 (or 79585 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3023242000 is about 54984.0158591567. The cubic root of 3023242000 is about 1445.9645224932.

Adding to 3023242000 its reverse (2423203), we get a palindrome (3025665203).

The spelling of 3023242000 in words is "three billion, twenty-three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 79559 159118 318236 397795 636472 795590 1272944 1511621 1591180 1988975 3023242 3182360 3977950 6046484 6364720 7558105 7955900 9944875 12092968 15116210 15911800 19889750 24185936 30232420 31823600 37790525 39779500 60464840 75581050 79559000 120929680 151162100 159118000 188952625 302324200 377905250 604648400 755810500 1511621000 3023242000