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3831716340 = 22355788419
BaseRepresentation
bin1110010001100011…
…0101100111110100
3100220001001100200000
43210120311213310
530321404410330
61432114551300
7163645023444
oct34430654764
910801040600
103831716340
1116969a4221
128ab298530
13490ac069a
14284c6a124
151765d3560
hexe46359f4

3831716340 has 72 divisors (see below), whose sum is σ = 12053364960. Its totient is φ = 1021789728.

The previous prime is 3831716327. The next prime is 3831716351. The reversal of 3831716340 is 436171383.

3831716340 is a `hidden beast` number, since 3 + 8 + 3 + 17 + 1 + 634 + 0 = 666.

It is a super-2 number, since 2×38317163402 = 29364100220445991200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3831716295 and 3831716304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389350 + ... + 399069.

Almost surely, 23831716340 is an apocalyptic number.

3831716340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3831716340 is an abundant number, since it is smaller than the sum of its proper divisors (8221648620).

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

3831716340 is a wasteful number, since it uses less digits than its factorization.

3831716340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788443 (or 788429 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3831716340 is about 61900.8589601146. The cubic root of 3831716340 is about 1564.8202238485.

The spelling of 3831716340 in words is "three billion, eight hundred thirty-one million, seven hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 788419 1576838 2365257 3153676 3942095 4730514 7095771 7884190 9461028 11826285 14191542 15768380 21287313 23652570 28383084 35478855 42574626 47305140 63861939 70957710 85149252 106436565 127723878 141915420 191585817 212873130 255447756 319309695 383171634 425746260 638619390 766343268 957929085 1277238780 1915858170 3831716340