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3494446330890 = 235312121208683
BaseRepresentation
bin110010110110011101001…
…110110111010000001010
3110101001202222021100220010
4302312131032313100022
5424223111230042030
611233154304212350
7510315431503344
oct62663516672012
913331688240803
103494446330890
111127a93943399
124852b700a0b6
131c46a91c5828
14c11bc6d2294
1560d72a056b0
hex32d9d3b740a

3494446330890 has 48 divisors (see below), whose sum is σ = 8665936071264. Its totient is φ = 901792594080.

The previous prime is 3494446330883. The next prime is 3494446330897. The reversal of 3494446330890 is 980336444943.

It is an interprime number because it is at equal distance from previous prime (3494446330883) and next prime (3494446330897).

It is a super-3 number, since 3×34944463308903 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3494446330890.

It is not an unprimeable number, because it can be changed into a prime (3494446330897) 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, 60575512 + ... + 60633171.

It is an arithmetic number, because the mean of its divisors is an integer number (180540334818).

Almost surely, 23494446330890 is an apocalyptic number.

3494446330890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3494446330890 is an abundant number, since it is smaller than the sum of its proper divisors (5171489740374).

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

3494446330890 is a wasteful number, since it uses less digits than its factorization.

3494446330890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121208755 (or 121208724 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 57.

The spelling of 3494446330890 in words is "three trillion, four hundred ninety-four billion, four hundred forty-six million, three hundred thirty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 961 1922 2883 4805 5766 9610 14415 28830 121208683 242417366 363626049 606043415 727252098 1212086830 1818130245 3636260490 3757469173 7514938346 11272407519 18787345865 22544815038 37574691730 56362037595 112724075190 116481544363 232963088726 349444633089 582407721815 698889266178 1164815443630 1747223165445 3494446330890