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3133244000 = 25532334057
BaseRepresentation
bin1011101011000001…
…1000001001100000
322002100202021202002
42322300120021200
522404102302000
61234524143132
7140434064105
oct27260301140
98070667662
103133244000
1113686a8657
12735397aa8
133ac197743
1421a1acaac
151351138d5
hexbac18260

3133244000 has 96 divisors (see below), whose sum is σ = 8033328576. Its totient is φ = 1198771200.

The previous prime is 3133243979. The next prime is 3133244003. The reversal of 3133244000 is 4423313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133244003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74972 + ... + 109028.

It is an arithmetic number, because the mean of its divisors is an integer number (83680506).

Almost surely, 23133244000 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 3133244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016664288).

3133244000 is an abundant number, since it is smaller than the sum of its proper divisors (4900084576).

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

3133244000 is a wasteful number, since it uses less digits than its factorization.

3133244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34105 (or 34087 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3133244000 is about 55975.3874484134. The cubic root of 3133244000 is about 1463.2933723461.

Adding to 3133244000 its reverse (4423313), we get a palindrome (3137667313).

The spelling of 3133244000 in words is "three billion, one hundred thirty-three million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 34057 46000 68114 92000 136228 170285 272456 340570 544912 681140 783311 851425 1089824 1362280 1566622 1702850 2724560 3133244 3405700 3916555 4257125 5449120 6266488 6811400 7833110 8514250 12532976 13622800 15666220 17028500 19582775 25065952 27245600 31332440 34057000 39165550 62664880 68114000 78331100 97913875 125329760 136228000 156662200 195827750 313324400 391655500 626648800 783311000 1566622000 3133244000