Search a number
-
+
3406425800 = 235241272
BaseRepresentation
bin1100101100001001…
…1110111011001000
322210101210100201112
43023002132323020
523434021111200
61322003305452
7150262066361
oct31302367310
98711710645
103406425800
111498925138
127b097b288
1342396588b
142445a0b68
1514e0c6535
hexcb09eec8

3406425800 has 36 divisors (see below), whose sum is σ = 7921859505. Its totient is φ = 1362240160.

The previous prime is 3406425797. The next prime is 3406425809. The reversal of 3406425800 is 85246043.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3406425800 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 3338297284 + 68128516 = 57778^2 + 8254^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=41270.

It is not an unprimeable number, because it can be changed into a prime (3406425809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 823337 + ... + 827463.

Almost surely, 23406425800 is an apocalyptic number.

It is an amenable number.

3406425800 is an abundant number, since it is smaller than the sum of its proper divisors (4515433705).

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

3406425800 is an frugal number, since it uses more digits than its factorization.

3406425800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 3406425800 is about 58364.5937191376. The cubic root of 3406425800 is about 1504.6412981630.

Multiplying 3406425800 by its sum of digits (32), we get a square (109005625600 = 3301602).

The spelling of 3406425800 in words is "three billion, four hundred six million, four hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4127 8254 16508 20635 33016 41270 82540 103175 165080 206350 412700 825400 17032129 34064258 68128516 85160645 136257032 170321290 340642580 425803225 681285160 851606450 1703212900 3406425800