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3430040314212 = 223337858368447
BaseRepresentation
bin110001111010011110010…
…101011010000101100100
3110010220112101222201112000
4301322132111122011210
5422144210310023322
611143423323525300
7502545411421101
oct61723625320544
913126471881460
103430040314212
111102743377836
12474921689830
131bb5b39a9ba5
14bc02c9d9aa8
155e35357b3ac
hex31e9e55a164

3430040314212 has 48 divisors (see below), whose sum is σ = 9133040286720. Its totient is φ = 1112445506016.

The previous prime is 3430040314193. The next prime is 3430040314213. The reversal of 3430040314212 is 2124130400343.

3430040314212 is a `hidden beast` number, since 3 + 4 + 30 + 0 + 403 + 14 + 212 = 666.

3430040314212 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 (27).

It is not an unprimeable number, because it can be changed into a prime (3430040314213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429180228 + ... + 429188219.

It is an arithmetic number, because the mean of its divisors is an integer number (190271672640).

Almost surely, 23430040314212 is an apocalyptic number.

It is an amenable number.

3430040314212 is an abundant number, since it is smaller than the sum of its proper divisors (5702999972508).

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

3430040314212 is a wasteful number, since it uses less digits than its factorization.

3430040314212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858368497 (or 858368489 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3430040314212 its reverse (2124130400343), we get a palindrome (5554170714555).

The spelling of 3430040314212 in words is "three trillion, four hundred thirty billion, forty million, three hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 858368447 1716736894 2575105341 3433473788 5150210682 7725316023 10300421364 15450632046 23175948069 30901264092 31759632539 46351896138 63519265078 92703792276 95278897617 127038530156 190557795234 285836692851 381115590468 571673385702 857510078553 1143346771404 1715020157106 3430040314212