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3406734040 = 2351710149603
BaseRepresentation
bin1100101100001110…
…1010001011011000
322210102101000112211
43023003222023120
523434110442130
61322014044504
7150264522133
oct31303521330
98712330484
103406734040
111499015786
127b0aa9734
13423a42c78
1424464121a
1514e137a2a
hexcb0ea2d8

3406734040 has 64 divisors (see below), whose sum is σ = 8196564960. Its totient is φ = 1269811200.

The previous prime is 3406734013. The next prime is 3406734043. The reversal of 3406734040 is 404376043.

It is a junction number, because it is equal to n+sod(n) for n = 3406733993 and 3406734011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406734043) 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, 43879 + ... + 93481.

Almost surely, 23406734040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406734040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098282480).

3406734040 is an abundant number, since it is smaller than the sum of its proper divisors (4789830920).

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

3406734040 is a wasteful number, since it uses less digits than its factorization.

3406734040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49732 (or 49728 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 3406734040 is about 58367.2343014469. The cubic root of 3406734040 is about 1504.6866806912.

The spelling of 3406734040 in words is "three billion, four hundred six million, seven hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 340 404 505 680 808 1010 1717 2020 3434 4040 6868 8585 13736 17170 34340 49603 68680 99206 198412 248015 396824 496030 843251 992060 1686502 1984120 3373004 4216255 5009903 6746008 8432510 10019806 16865020 20039612 25049515 33730040 40079224 50099030 85168351 100198060 170336702 200396120 340673404 425841755 681346808 851683510 1703367020 3406734040