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3434230034240 = 26510731968857
BaseRepresentation
bin110001111110011000000…
…011111010111101000000
3110011022100101200112220212
4301332120003322331000
5422231300342043430
611145355152053252
7503054264435225
oct61763003727500
913138311615825
103434230034240
1111044a3362475
124756b0834228
131bbb009c6775
14bc30921794c
155e4eb2c9b95
hex31f980faf40

3434230034240 has 28 divisors (see below), whose sum is σ = 8177760269796. Its totient is φ = 1373692013568.

The previous prime is 3434230034239. The next prime is 3434230034269. The reversal of 3434230034240 is 424300324343.

3434230034240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1654866125056 + 1779363909184 = 1286416^2 + 1333928^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3434230034197 and 3434230034206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5365984109 + ... + 5365984748.

Almost surely, 23434230034240 is an apocalyptic number.

It is an amenable number.

3434230034240 is an abundant number, since it is smaller than the sum of its proper divisors (4743530235556).

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

3434230034240 is a wasteful number, since it uses less digits than its factorization.

3434230034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10731968874 (or 10731968864 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 3434230034240 its reverse (424300324343), we get a palindrome (3858530358583).

The spelling of 3434230034240 in words is "three trillion, four hundred thirty-four billion, two hundred thirty million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 10731968857 21463937714 42927875428 53659844285 85855750856 107319688570 171711501712 214639377140 343423003424 429278754280 686846006848 858557508560 1717115017120 3434230034240