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3442434432420 = 223597117590771
BaseRepresentation
bin110010000110000001000…
…101001101110110100100
3110012002112011201011102010
4302012001011031312210
5422400101203314140
611153233232514220
7503464506611364
oct62060105156644
913162464634363
103442434432420
111107a23547235
124772003ab970
131bc80a6a3a49
14bc886aca9a4
155e82b6ec880
hex3218114dda4

3442434432420 has 48 divisors (see below), whose sum is σ = 9638931976128. Its totient is φ = 917971509120.

The previous prime is 3442434432413. The next prime is 3442434432439. The reversal of 3442434432420 is 242344342443.

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 15 ways as a sum of consecutive naturals, for example, 5531635 + ... + 6122405.

It is an arithmetic number, because the mean of its divisors is an integer number (200811082836).

Almost surely, 23442434432420 is an apocalyptic number.

3442434432420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442434432420 is an abundant number, since it is smaller than the sum of its proper divisors (6196497543708).

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

3442434432420 is a wasteful number, since it uses less digits than its factorization.

3442434432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687900 (or 687898 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 39.

Adding to 3442434432420 its reverse (242344342443), we get a palindrome (3684778774863).

The spelling of 3442434432420 in words is "three trillion, four hundred forty-two billion, four hundred thirty-four million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97117 194234 291351 388468 485585 582702 590771 971170 1165404 1181542 1456755 1772313 1942340 2363084 2913510 2953855 3544626 5827020 5907710 7089252 8861565 11815420 17723130 35446260 57373907207 114747814414 172121721621 229495628828 286869536035 344243443242 573739072070 688486886484 860608608105 1147478144140 1721217216210 3442434432420