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3010661140 = 2253747107809
BaseRepresentation
bin1011001101110011…
…0000101100010100
321202211002102200011
42303130300230110
522131212124030
61214424530004
7134415124504
oct26334605424
97684072604
103010661140
111305492303
12700320904
1338c977cc6
14207bbda04
1512949cb2a
hexb3730b14

3010661140 has 96 divisors (see below), whose sum is σ = 6701667840. Its totient is φ = 1134664704.

The previous prime is 3010661113. The next prime is 3010661141. The reversal of 3010661140 is 411660103.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3010661141) 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, 3721056 + ... + 3721864.

It is an arithmetic number, because the mean of its divisors is an integer number (69809040).

Almost surely, 23010661140 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 3010661140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350833920).

3010661140 is an abundant number, since it is smaller than the sum of its proper divisors (3691006700).

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

3010661140 is a wasteful number, since it uses less digits than its factorization.

3010661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 3010661140 is about 54869.4918875690. The cubic root of 3010661140 is about 1443.9559976923.

The spelling of 3010661140 in words is "three billion, ten million, six hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 47 74 94 107 148 185 188 214 235 370 428 470 535 740 809 940 1070 1618 1739 2140 3236 3478 3959 4045 5029 6956 7918 8090 8695 10058 15836 16180 17390 19795 20116 25145 29933 34780 38023 39590 50290 59866 76046 79180 86563 100580 119732 149665 152092 173126 186073 190115 299330 346252 372146 380230 432815 598660 744292 760460 865630 930365 1406851 1731260 1860730 2813702 3202831 3721460 4068461 5627404 6405662 7034255 8136922 12811324 14068510 16014155 16273844 20342305 28137020 32028310 40684610 64056620 81369220 150533057 301066114 602132228 752665285 1505330570 3010661140