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3406956340 = 225229774161
BaseRepresentation
bin1100101100010010…
…0000011100110100
322210102210022111011
43023010200130310
523434140100330
61322022522004
7150266436214
oct31304403464
98712708434
103406956340
1114991577a7
127b0b96304
13423ac01c8
1424469c244
1514e17d82a
hexcb120734

3406956340 has 24 divisors (see below), whose sum is σ = 7157819592. Its totient is φ = 1362170880.

The previous prime is 3406956307. The next prime is 3406956359. The reversal of 3406956340 is 436596043.

It can be written as a sum of positive squares in 4 ways, for example, as 510579216 + 2896377124 = 22596^2 + 53818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3406956293 and 3406956302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8860 + ... + 83020.

It is an arithmetic number, because the mean of its divisors is an integer number (298242483).

Almost surely, 23406956340 is an apocalyptic number.

It is an amenable number.

3406956340 is an abundant number, since it is smaller than the sum of its proper divisors (3750863252).

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

3406956340 is a wasteful number, since it uses less digits than its factorization.

3406956340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76467 (or 76465 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The square root of 3406956340 is about 58369.1385922390. The cubic root of 3406956340 is about 1504.7194084758.

It can be divided in two parts, 34069 and 56340, that added together give a palindrome (90409).

The spelling of 3406956340 in words is "three billion, four hundred six million, nine hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 2297 4594 9188 11485 22970 45940 74161 148322 296644 370805 741610 1483220 170347817 340695634 681391268 851739085 1703478170 3406956340