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3483103451730 = 2357232113341287
BaseRepresentation
bin110010101011111001001…
…001001101101001010010
3110022222111110122101212120
4302223321021031221102
5424031343440423410
611224040551035110
7506434356561660
oct62537111155122
913288443571776
103483103451730
1111231a31043a1
1248307036ba96
131c35bc239206
14c0824089c30
156090bcd7570
hex32af924da52

3483103451730 has 128 divisors (see below), whose sum is σ = 9973778669568. Its totient is φ = 761160609792.

The previous prime is 3483103451683. The next prime is 3483103451759. The reversal of 3483103451730 is 371543013843.

It is a happy number.

3483103451730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10035147 + ... + 10376433.

It is an arithmetic number, because the mean of its divisors is an integer number (77920145856).

Almost surely, 23483103451730 is an apocalyptic number.

3483103451730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483103451730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986889334784).

3483103451730 is an abundant number, since it is smaller than the sum of its proper divisors (6490675217838).

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

3483103451730 is a wasteful number, since it uses less digits than its factorization.

3483103451730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343440.

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 3483103451730 in words is "three trillion, four hundred eighty-three billion, one hundred three million, four hundred fifty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2113 2415 4226 4830 6339 10565 12678 14791 21130 29582 31695 44373 48599 63390 73955 88746 97198 145797 147910 221865 242995 291594 340193 341287 443730 485990 680386 682574 728985 1020579 1023861 1457970 1700965 1706435 2041158 2047722 2389009 3401930 3412870 4778018 5102895 5119305 7167027 7849601 10205790 10238610 11945045 14334054 15699202 23548803 23890090 35835135 39248005 47097606 54947207 71670270 78496010 109894414 117744015 164841621 235488030 274736035 329683242 549472070 721139431 824208105 1442278862 1648416210 2163418293 3605697155 4326836586 5047976017 7211394310 10095952034 10817091465 15143928051 16586206913 21634182930 25239880085 30287856102 33172413826 49758620739 50479760170 75719640255 82931034565 99517241478 116103448391 151439280510 165862069130 232206896782 248793103695 348310345173 497586207390 580517241955 696620690346 1161034483910 1741551725865 3483103451730