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3000564260 = 2251753732281
BaseRepresentation
bin1011001011011000…
…1111101000100100
321202010002110100122
42302312033220210
522121121024020
61213424301112
7134233242521
oct26266175044
97663073318
103000564260
1112aa816381
126b8a71798
1338a851315
14206712148
15128656125
hexb2d8fa24

3000564260 has 96 divisors (see below), whose sum is σ = 6893867232. Its totient is φ = 1092648960.

The previous prime is 3000564253. The next prime is 3000564263. The reversal of 3000564260 is 624650003.

3000564260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 40551424 + 2960012836 = 6368^2 + 54406^2 .

It is not an unprimeable number, because it can be changed into a prime (3000564263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1314320 + ... + 1316600.

It is an arithmetic number, because the mean of its divisors is an integer number (71811117).

Almost surely, 23000564260 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 3000564260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446933616).

3000564260 is an abundant number, since it is smaller than the sum of its proper divisors (3893302972).

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

3000564260 is a wasteful number, since it uses less digits than its factorization.

3000564260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3000564260 is about 54777.4064738374. The cubic root of 3000564260 is about 1442.3399872770.

The spelling of 3000564260 in words is "three billion, five hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 53 68 73 85 106 146 170 212 265 292 340 365 530 730 901 1060 1241 1460 1802 2281 2482 3604 3869 4505 4562 4964 6205 7738 9010 9124 11405 12410 15476 18020 19345 22810 24820 38690 38777 45620 65773 77380 77554 120893 131546 155108 166513 193885 241786 263092 328865 333026 387770 483572 604465 657730 666052 775540 832565 1208930 1315460 1665130 2055181 2417860 2830721 3330260 4110362 5661442 8220724 8825189 10275905 11322884 14153605 17650378 20551810 28307210 35300756 41103620 44125945 56614420 88251890 150028213 176503780 300056426 600112852 750141065 1500282130 3000564260