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2349819441930 = 235192307706753
BaseRepresentation
bin100010001100011100001…
…001110011001100001010
322022122021221211202020010
4202030130021303030022
5301444412234120210
64555254145412350
7331524500461662
oct42143411631412
98278257752203
102349819441930
118266098a7194
1231b4b193a0b6
131407828c4aac
1481a363611a2
15411ce267920
hex2231c27330a

2349819441930 has 96 divisors (see below), whose sum is σ = 5971404124224. Its totient is φ = 591704082432.

The previous prime is 2349819441919. The next prime is 2349819441941. The reversal of 2349819441930 is 391449189432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2349819441919) and next prime (2349819441941).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2971434 + ... + 3678186.

It is an arithmetic number, because the mean of its divisors is an integer number (62202126294).

Almost surely, 22349819441930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2349819441930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985702062112).

2349819441930 is an abundant number, since it is smaller than the sum of its proper divisors (3621584682294).

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

2349819441930 is a wasteful number, since it uses less digits than its factorization.

2349819441930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707108 (or 707089 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 2349819441930 in words is "two trillion, three hundred forty-nine billion, eight hundred nineteen million, four hundred forty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 307 361 570 614 722 921 1083 1535 1805 1842 2166 3070 3610 4605 5415 5833 9210 10830 11666 17499 29165 34998 58330 87495 110827 174990 221654 332481 554135 664962 706753 1108270 1413506 1662405 2120259 3324810 3533765 4240518 7067530 10601295 13428307 21202590 26856614 40284921 67141535 80569842 134283070 201424605 216973171 255137833 402849210 433946342 510275666 650919513 765413499 1084865855 1275689165 1301839026 1530826998 2169731710 2551378330 3254597565 3827067495 4122490249 6509195130 7654134990 8244980498 12367470747 20612451245 24734941494 41224902490 61837353735 78327314731 123674707470 156654629462 234981944193 391636573655 469963888386 783273147310 1174909720965 2349819441930