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3034221200 = 2452171373257
BaseRepresentation
bin1011010011011010…
…1000101010010000
321211110102101222222
42310312220222100
522203230034300
61221025520212
7135122311643
oct26466505220
97743371888
103034221200
11131781432a
127081a3068
1339480697a
1420ad93a5a
1512b5a3785
hexb4da8a90

3034221200 has 120 divisors (see below), whose sum is σ = 7777249992. Its totient is φ = 1133608960.

The previous prime is 3034221199. The next prime is 3034221209. The reversal of 3034221200 is 21224303.

It can be written as a sum of positive squares in 12 ways, for example, as 62663056 + 2971558144 = 7916^2 + 54512^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (3034221209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929972 + ... + 933228.

Almost surely, 23034221200 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 3034221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888624996).

3034221200 is an abundant number, since it is smaller than the sum of its proper divisors (4743028792).

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

3034221200 is a wasteful number, since it uses less digits than its factorization.

3034221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3034221200 is about 55083.7653033995. The cubic root of 3034221200 is about 1447.7127952097.

Adding to 3034221200 its reverse (21224303), we get a palindrome (3055445503).

The spelling of 3034221200 in words is "three billion, thirty-four million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 137 170 200 272 274 340 400 425 548 680 685 850 1096 1360 1370 1700 2192 2329 2740 3257 3400 3425 4658 5480 6514 6800 6850 9316 10960 11645 13028 13700 16285 18632 23290 26056 27400 32570 37264 46580 52112 54800 55369 58225 65140 81425 93160 110738 116450 130280 162850 186320 221476 232900 260560 276845 325700 442952 446209 465800 553690 651400 885904 892418 931600 1107380 1302800 1384225 1784836 2214760 2231045 2768450 3569672 4429520 4462090 5536900 7139344 7585553 8924180 11073800 11155225 15171106 17848360 22147600 22310450 30342212 35696720 37927765 44620900 60684424 75855530 89241800 121368848 151711060 178483600 189638825 303422120 379277650 606844240 758555300 1517110600 3034221200