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3406869440 = 26513818959
BaseRepresentation
bin1100101100010000…
…1011001111000000
322210102121220021122
43023010023033000
523434124310230
61322021011412
7150265624652
oct31304131700
98712556248
103406869440
1114990a8487
127b0b53b68
13423a8c7a0
142446786d2
1514e162be5
hexcb10b3c0

3406869440 has 56 divisors (see below), whose sum is σ = 8736665280. Its totient is φ = 1257919488.

The previous prime is 3406869439. The next prime is 3406869443. The reversal of 3406869440 is 449686043.

It is a junction number, because it is equal to n+sod(n) for n = 3406869391 and 3406869400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406869443) by changing a digit.

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, 405320 + ... + 413639.

It is an arithmetic number, because the mean of its divisors is an integer number (156011880).

Almost surely, 23406869440 is an apocalyptic number.

It is an amenable number.

3406869440 is an abundant number, since it is smaller than the sum of its proper divisors (5329795840).

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

3406869440 is a wasteful number, since it uses less digits than its factorization.

3406869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818989 (or 818979 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 3406869440 is about 58368.3941872654. The cubic root of 3406869440 is about 1504.7066149229.

The spelling of 3406869440 in words is "three billion, four hundred six million, eight hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 818959 1637918 3275836 4094795 6551672 8189590 10646467 13103344 16379180 21292934 26206688 32758360 42585868 52413376 53232335 65516720 85171736 106464670 131033440 170343472 212929340 262066880 340686944 425858680 681373888 851717360 1703434720 3406869440