Search a number
-
+
3435303226420 = 2251385315489689
BaseRepresentation
bin110001111111011000000…
…001110100110000110100
3110011102010012002100211101
4301333120001310300310
5422241000111221140
611150053450215444
7503123005426342
oct61773001646064
913142105070741
103435303226420
1111049a412765a
12475950124584
131bbc4214c420
14bc3ab978992
155e56061799a
hex31fd8074c34

3435303226420 has 48 divisors (see below), whose sum is σ = 7778178812880. Its totient is φ = 1266932560896.

The previous prime is 3435303226403. The next prime is 3435303226429. The reversal of 3435303226420 is 246223035343.

It can be written as a sum of positive squares in 8 ways, for example, as 1808933541156 + 1626369685264 = 1344966^2 + 1275292^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3435303226420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435303226429) 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, 7523065 + ... + 7966624.

It is an arithmetic number, because the mean of its divisors is an integer number (162045391935).

Almost surely, 23435303226420 is an apocalyptic number.

It is an amenable number.

3435303226420 is an abundant number, since it is smaller than the sum of its proper divisors (4342875586460).

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

3435303226420 is a wasteful number, since it uses less digits than its factorization.

3435303226420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15490564 (or 15490562 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 37.

The spelling of 3435303226420 in words is "three trillion, four hundred thirty-five billion, three hundred three million, two hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 853 1706 3412 4265 8530 11089 17060 22178 44356 55445 110890 221780 15489689 30979378 61958756 77448445 154896890 201365957 309793780 402731914 805463828 1006829785 2013659570 4027319140 13212704717 26425409434 52850818868 66063523585 132127047170 171765161321 264254094340 343530322642 687060645284 858825806605 1717651613210 3435303226420